-3(a-3)+6=4(a+2)

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Solution for -3(a-3)+6=4(a+2) equation: 


Simplifying
-3(a + -3) + 6 = 4(a + 2)

Reorder the terms:
-3(-3 + a) + 6 = 4(a + 2)
(-3 * -3 + a * -3) + 6 = 4(a + 2)
(9 + -3a) + 6 = 4(a + 2)

Reorder the terms:
9 + 6 + -3a = 4(a + 2)

Combine like terms: 9 + 6 = 15
15 + -3a = 4(a + 2)

Reorder the terms:
15 + -3a = 4(2 + a)
15 + -3a = (2 * 4 + a * 4)
15 + -3a = (8 + 4a)

Solving
15 + -3a = 8 + 4a

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-4a' to each side of the equation.
15 + -3a + -4a = 8 + 4a + -4a

Combine like terms: -3a + -4a = -7a
15 + -7a = 8 + 4a + -4a

Combine like terms: 4a + -4a = 0
15 + -7a = 8 + 0
15 + -7a = 8

Add '-15' to each side of the equation.
15 + -15 + -7a = 8 + -15

Combine like terms: 15 + -15 = 0
0 + -7a = 8 + -15
-7a = 8 + -15

Combine like terms: 8 + -15 = -7
-7a = -7

Divide each side by '-7'.
a = 1

Simplifying
a = 1

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