100=-2-3(1-5a)

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Solution for 100=-2-3(1-5a) equation: 


Simplifying
100 = -2 + -3(1 + -5a)
100 = -2 + (1 * -3 + -5a * -3)
100 = -2 + (-3 + 15a)

Combine like terms: -2 + -3 = -5
100 = -5 + 15a

Solving
100 = -5 + 15a

Solving for variable 'a'.

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

Add '-15a' to each side of the equation.
100 + -15a = -5 + 15a + -15a

Combine like terms: 15a + -15a = 0
100 + -15a = -5 + 0
100 + -15a = -5

Add '-100' to each side of the equation.
100 + -100 + -15a = -5 + -100

Combine like terms: 100 + -100 = 0
0 + -15a = -5 + -100
-15a = -5 + -100

Combine like terms: -5 + -100 = -105
-15a = -105

Divide each side by '-15'.
a = 7

Simplifying
a = 7

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