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

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


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

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

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

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

Combine like terms: 56 + -8 = 48
56 + 8a = 48 + 7a

Solving
56 + 8a = 48 + 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.
56 + 8a + -7a = 48 + 7a + -7a

Combine like terms: 8a + -7a = 1a
56 + 1a = 48 + 7a + -7a

Combine like terms: 7a + -7a = 0
56 + 1a = 48 + 0
56 + 1a = 48

Add '-56' to each side of the equation.
56 + -56 + 1a = 48 + -56

Combine like terms: 56 + -56 = 0
0 + 1a = 48 + -56
1a = 48 + -56

Combine like terms: 48 + -56 = -8
1a = -8

Divide each side by '1'.
a = -8

Simplifying
a = -8

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