101=-2(-5+4a)-5a

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Solution for 101=-2(-5+4a)-5a equation:


Simplifying
101 = -2(-5 + 4a) + -5a
101 = (-5 * -2 + 4a * -2) + -5a
101 = (10 + -8a) + -5a

Combine like terms: -8a + -5a = -13a
101 = 10 + -13a

Solving
101 = 10 + -13a

Solving for variable 'a'.

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

Add '13a' to each side of the equation.
101 + 13a = 10 + -13a + 13a

Combine like terms: -13a + 13a = 0
101 + 13a = 10 + 0
101 + 13a = 10

Add '-101' to each side of the equation.
101 + -101 + 13a = 10 + -101

Combine like terms: 101 + -101 = 0
0 + 13a = 10 + -101
13a = 10 + -101

Combine like terms: 10 + -101 = -91
13a = -91

Divide each side by '13'.
a = -7

Simplifying
a = -7

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