-78=6(3-5a)-3(3a-7)

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Solution for -78=6(3-5a)-3(3a-7) equation:


Simplifying
-78 = 6(3 + -5a) + -3(3a + -7)
-78 = (3 * 6 + -5a * 6) + -3(3a + -7)
-78 = (18 + -30a) + -3(3a + -7)

Reorder the terms:
-78 = 18 + -30a + -3(-7 + 3a)
-78 = 18 + -30a + (-7 * -3 + 3a * -3)
-78 = 18 + -30a + (21 + -9a)

Reorder the terms:
-78 = 18 + 21 + -30a + -9a

Combine like terms: 18 + 21 = 39
-78 = 39 + -30a + -9a

Combine like terms: -30a + -9a = -39a
-78 = 39 + -39a

Solving
-78 = 39 + -39a

Solving for variable 'a'.

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

Add '39a' to each side of the equation.
-78 + 39a = 39 + -39a + 39a

Combine like terms: -39a + 39a = 0
-78 + 39a = 39 + 0
-78 + 39a = 39

Add '78' to each side of the equation.
-78 + 78 + 39a = 39 + 78

Combine like terms: -78 + 78 = 0
0 + 39a = 39 + 78
39a = 39 + 78

Combine like terms: 39 + 78 = 117
39a = 117

Divide each side by '39'.
a = 3

Simplifying
a = 3

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