106=-4-5(5a+3)

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Solution for 106=-4-5(5a+3) equation: 


Simplifying
106 = -4 + -5(5a + 3)

Reorder the terms:
106 = -4 + -5(3 + 5a)
106 = -4 + (3 * -5 + 5a * -5)
106 = -4 + (-15 + -25a)

Combine like terms: -4 + -15 = -19
106 = -19 + -25a

Solving
106 = -19 + -25a

Solving for variable 'a'.

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

Add '25a' to each side of the equation.
106 + 25a = -19 + -25a + 25a

Combine like terms: -25a + 25a = 0
106 + 25a = -19 + 0
106 + 25a = -19

Add '-106' to each side of the equation.
106 + -106 + 25a = -19 + -106

Combine like terms: 106 + -106 = 0
0 + 25a = -19 + -106
25a = -19 + -106

Combine like terms: -19 + -106 = -125
25a = -125

Divide each side by '25'.
a = -5

Simplifying
a = -5

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