6(9-8)+9=3(a-7)

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Solution for 6(9-8)+9=3(a-7) equation: 


Simplifying
6(9 + -8) + 9 = 3(a + -7)

Combine like terms: 9 + -8 = 1
6(1) + 9 = 3(a + -7)

Multiply 6 * 1
6 + 9 = 3(a + -7)

Combine like terms: 6 + 9 = 15
15 = 3(a + -7)

Reorder the terms:
15 = 3(-7 + a)
15 = (-7 * 3 + a * 3)
15 = (-21 + 3a)

Solving
15 = -21 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
15 + -3a = -21 + 3a + -3a

Combine like terms: 3a + -3a = 0
15 + -3a = -21 + 0
15 + -3a = -21

Add '-15' to each side of the equation.
15 + -15 + -3a = -21 + -15

Combine like terms: 15 + -15 = 0
0 + -3a = -21 + -15
-3a = -21 + -15

Combine like terms: -21 + -15 = -36
-3a = -36

Divide each side by '-3'.
a = 12

Simplifying
a = 12

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