5(3a-2)-7a+7=29

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Solution for 5(3a-2)-7a+7=29 equation:


Simplifying
5(3a + -2) + -7a + 7 = 29

Reorder the terms:
5(-2 + 3a) + -7a + 7 = 29
(-2 * 5 + 3a * 5) + -7a + 7 = 29
(-10 + 15a) + -7a + 7 = 29

Reorder the terms:
-10 + 7 + 15a + -7a = 29

Combine like terms: -10 + 7 = -3
-3 + 15a + -7a = 29

Combine like terms: 15a + -7a = 8a
-3 + 8a = 29

Solving
-3 + 8a = 29

Solving for variable 'a'.

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

Add '3' to each side of the equation.
-3 + 3 + 8a = 29 + 3

Combine like terms: -3 + 3 = 0
0 + 8a = 29 + 3
8a = 29 + 3

Combine like terms: 29 + 3 = 32
8a = 32

Divide each side by '8'.
a = 4

Simplifying
a = 4

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