7(a-8)=-8a-11

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Solution for 7(a-8)=-8a-11 equation:


Simplifying
7(a + -8) = -8a + -11

Reorder the terms:
7(-8 + a) = -8a + -11
(-8 * 7 + a * 7) = -8a + -11
(-56 + 7a) = -8a + -11

Reorder the terms:
-56 + 7a = -11 + -8a

Solving
-56 + 7a = -11 + -8a

Solving for variable 'a'.

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

Add '8a' to each side of the equation.
-56 + 7a + 8a = -11 + -8a + 8a

Combine like terms: 7a + 8a = 15a
-56 + 15a = -11 + -8a + 8a

Combine like terms: -8a + 8a = 0
-56 + 15a = -11 + 0
-56 + 15a = -11

Add '56' to each side of the equation.
-56 + 56 + 15a = -11 + 56

Combine like terms: -56 + 56 = 0
0 + 15a = -11 + 56
15a = -11 + 56

Combine like terms: -11 + 56 = 45
15a = 45

Divide each side by '15'.
a = 3

Simplifying
a = 3

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