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Simplifying 2 + -7(1 + -5a) = 100 2 + (1 * -7 + -5a * -7) = 100 2 + (-7 + 35a) = 100 Combine like terms: 2 + -7 = -5 -5 + 35a = 100 Solving -5 + 35a = 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 + 35a = 100 + 5 Combine like terms: -5 + 5 = 0 0 + 35a = 100 + 5 35a = 100 + 5 Combine like terms: 100 + 5 = 105 35a = 105 Divide each side by '35'. a = 3 Simplifying a = 3
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