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Simplifying -6a + 5(1 + -2a) = 101 -6a + (1 * 5 + -2a * 5) = 101 -6a + (5 + -10a) = 101 Reorder the terms: 5 + -6a + -10a = 101 Combine like terms: -6a + -10a = -16a 5 + -16a = 101 Solving 5 + -16a = 101 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 + -16a = 101 + -5 Combine like terms: 5 + -5 = 0 0 + -16a = 101 + -5 -16a = 101 + -5 Combine like terms: 101 + -5 = 96 -16a = 96 Divide each side by '-16'. a = -6 Simplifying a = -6
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