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

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


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

Reorder the terms:
7(-6 + a) + 7a = 7(a + -8)
(-6 * 7 + a * 7) + 7a = 7(a + -8)
(-42 + 7a) + 7a = 7(a + -8)

Combine like terms: 7a + 7a = 14a
-42 + 14a = 7(a + -8)

Reorder the terms:
-42 + 14a = 7(-8 + a)
-42 + 14a = (-8 * 7 + a * 7)
-42 + 14a = (-56 + 7a)

Solving
-42 + 14a = -56 + 7a

Solving for variable 'a'.

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

Add '-7a' to each side of the equation.
-42 + 14a + -7a = -56 + 7a + -7a

Combine like terms: 14a + -7a = 7a
-42 + 7a = -56 + 7a + -7a

Combine like terms: 7a + -7a = 0
-42 + 7a = -56 + 0
-42 + 7a = -56

Add '42' to each side of the equation.
-42 + 42 + 7a = -56 + 42

Combine like terms: -42 + 42 = 0
0 + 7a = -56 + 42
7a = -56 + 42

Combine like terms: -56 + 42 = -14
7a = -14

Divide each side by '7'.
a = -2

Simplifying
a = -2

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