4(3a-1)+13=5a+2

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Solution for 4(3a-1)+13=5a+2 equation:


Simplifying
4(3a + -1) + 13 = 5a + 2

Reorder the terms:
4(-1 + 3a) + 13 = 5a + 2
(-1 * 4 + 3a * 4) + 13 = 5a + 2
(-4 + 12a) + 13 = 5a + 2

Reorder the terms:
-4 + 13 + 12a = 5a + 2

Combine like terms: -4 + 13 = 9
9 + 12a = 5a + 2

Reorder the terms:
9 + 12a = 2 + 5a

Solving
9 + 12a = 2 + 5a

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
9 + 12a + -5a = 2 + 5a + -5a

Combine like terms: 12a + -5a = 7a
9 + 7a = 2 + 5a + -5a

Combine like terms: 5a + -5a = 0
9 + 7a = 2 + 0
9 + 7a = 2

Add '-9' to each side of the equation.
9 + -9 + 7a = 2 + -9

Combine like terms: 9 + -9 = 0
0 + 7a = 2 + -9
7a = 2 + -9

Combine like terms: 2 + -9 = -7
7a = -7

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

Simplifying
a = -1

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