5(6a-7)-6a=5(a+8)+4a

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Solution for 5(6a-7)-6a=5(a+8)+4a equation:


Simplifying
5(6a + -7) + -6a = 5(a + 8) + 4a

Reorder the terms:
5(-7 + 6a) + -6a = 5(a + 8) + 4a
(-7 * 5 + 6a * 5) + -6a = 5(a + 8) + 4a
(-35 + 30a) + -6a = 5(a + 8) + 4a

Combine like terms: 30a + -6a = 24a
-35 + 24a = 5(a + 8) + 4a

Reorder the terms:
-35 + 24a = 5(8 + a) + 4a
-35 + 24a = (8 * 5 + a * 5) + 4a
-35 + 24a = (40 + 5a) + 4a

Combine like terms: 5a + 4a = 9a
-35 + 24a = 40 + 9a

Solving
-35 + 24a = 40 + 9a

Solving for variable 'a'.

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

Add '-9a' to each side of the equation.
-35 + 24a + -9a = 40 + 9a + -9a

Combine like terms: 24a + -9a = 15a
-35 + 15a = 40 + 9a + -9a

Combine like terms: 9a + -9a = 0
-35 + 15a = 40 + 0
-35 + 15a = 40

Add '35' to each side of the equation.
-35 + 35 + 15a = 40 + 35

Combine like terms: -35 + 35 = 0
0 + 15a = 40 + 35
15a = 40 + 35

Combine like terms: 40 + 35 = 75
15a = 75

Divide each side by '15'.
a = 5

Simplifying
a = 5

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