Math Magicians Only Please!

I need answers, just started at a new school ?d they're making mme do work. Heres the probems.

1.) 1/3(7n-33) = 8 - 4n.

2.) -7 + 11g = 9 - 5g.

3.) x + 2 = 3x -1.

4. 6 -5a) = 5a - 3.

5.) -1 + 2 x + 2 = 8(x - 1)

6.) 6x - 4 = 10(3x + 9)

PKKEASE HELP ME D':

1)
1/3(7n - 33) = 8 - 4n
distribute:
(7/3)n - 11 = 8 - 4n
add 4n and 11 to both sides:
(7/3)n + 4n = 19
(7/3)n + (12/3)n = 19
19n/3 = 19
multiply both sides by 3:
19n = 57
divide both sides by 19:
n = 57/19 = 3

2)
-7 + 11g = 9 - 5g
add -7 and 5g to both sides:
16g = 16
divide both sides by 16:
g = 16/16 = 1

3)
x + 2 = 3x - 1
subtract x from each side:
2 = 2x - 1
add 1 to both sides:
3 = 2x
divide both sides by 2:
x = 3/2

4)
6 - 5a = 5a - 3
add 5a to both sides:
6 = 10a - 3
add 3 to both sides:
9 = 10a
divide both sides by 10:
a = 9/10

5)
-1 + 2x + 2 = 8(x - 1)
distribute on the right:
-1 + 2x + 2 = 8x - 8
combine like terms:
2x + 1 = 8x - 8
subtract 2x from both sides:
1 = 6x - 8
add 8 to both sides:
9 = 6x
divide both sides by 6:
x = 9/6 = 3/2

6)
6x - 4 = 10(3x + 9)
distribute on the right:
6x - 4 = 30x + 90
subtract 6x from both sides:
-4 = 24x + 90
subtract 90 from both sides:
-94 = 24x
divide both sides by 24:
x = -94/24 = -47/12

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