7(8+a)+2=13-8a

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Solution for 7(8+a)+2=13-8a equation:


Simplifying
7(8 + a) + 2 = 13 + -8a
(8 * 7 + a * 7) + 2 = 13 + -8a
(56 + 7a) + 2 = 13 + -8a

Reorder the terms:
56 + 2 + 7a = 13 + -8a

Combine like terms: 56 + 2 = 58
58 + 7a = 13 + -8a

Solving
58 + 7a = 13 + -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.
58 + 7a + 8a = 13 + -8a + 8a

Combine like terms: 7a + 8a = 15a
58 + 15a = 13 + -8a + 8a

Combine like terms: -8a + 8a = 0
58 + 15a = 13 + 0
58 + 15a = 13

Add '-58' to each side of the equation.
58 + -58 + 15a = 13 + -58

Combine like terms: 58 + -58 = 0
0 + 15a = 13 + -58
15a = 13 + -58

Combine like terms: 13 + -58 = -45
15a = -45

Divide each side by '15'.
a = -3

Simplifying
a = -3

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