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Simplifying -3(1 + 5a) + -2 = 100 (1 * -3 + 5a * -3) + -2 = 100 (-3 + -15a) + -2 = 100 Reorder the terms: -3 + -2 + -15a = 100 Combine like terms: -3 + -2 = -5 -5 + -15a = 100 Solving -5 + -15a = 100 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -15a = 100 + 5 Combine like terms: -5 + 5 = 0 0 + -15a = 100 + 5 -15a = 100 + 5 Combine like terms: 100 + 5 = 105 -15a = 105 Divide each side by '-15'. a = -7 Simplifying a = -7
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