78=6(6a-5)

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Solution for 78=6(6a-5) equation:


Simplifying
78 = 6(6a + -5)

Reorder the terms:
78 = 6(-5 + 6a)
78 = (-5 * 6 + 6a * 6)
78 = (-30 + 36a)

Solving
78 = -30 + 36a

Solving for variable 'a'.

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

Add '-36a' to each side of the equation.
78 + -36a = -30 + 36a + -36a

Combine like terms: 36a + -36a = 0
78 + -36a = -30 + 0
78 + -36a = -30

Add '-78' to each side of the equation.
78 + -78 + -36a = -30 + -78

Combine like terms: 78 + -78 = 0
0 + -36a = -30 + -78
-36a = -30 + -78

Combine like terms: -30 + -78 = -108
-36a = -108

Divide each side by '-36'.
a = 3

Simplifying
a = 3

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