51=3(a-8)-8(-2a-7)

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Solution for 51=3(a-8)-8(-2a-7) equation: 


Simplifying
51 = 3(a + -8) + -8(-2a + -7)

Reorder the terms:
51 = 3(-8 + a) + -8(-2a + -7)
51 = (-8 * 3 + a * 3) + -8(-2a + -7)
51 = (-24 + 3a) + -8(-2a + -7)

Reorder the terms:
51 = -24 + 3a + -8(-7 + -2a)
51 = -24 + 3a + (-7 * -8 + -2a * -8)
51 = -24 + 3a + (56 + 16a)

Reorder the terms:
51 = -24 + 56 + 3a + 16a

Combine like terms: -24 + 56 = 32
51 = 32 + 3a + 16a

Combine like terms: 3a + 16a = 19a
51 = 32 + 19a

Solving
51 = 32 + 19a

Solving for variable 'a'.

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

Add '-19a' to each side of the equation.
51 + -19a = 32 + 19a + -19a

Combine like terms: 19a + -19a = 0
51 + -19a = 32 + 0
51 + -19a = 32

Add '-51' to each side of the equation.
51 + -51 + -19a = 32 + -51

Combine like terms: 51 + -51 = 0
0 + -19a = 32 + -51
-19a = 32 + -51

Combine like terms: 32 + -51 = -19
-19a = -19

Divide each side by '-19'.
a = 1

Simplifying
a = 1

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