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Simplifying 3a + 5(1 + -2a) = -2 3a + (1 * 5 + -2a * 5) = -2 3a + (5 + -10a) = -2 Reorder the terms: 5 + 3a + -10a = -2 Combine like terms: 3a + -10a = -7a 5 + -7a = -2 Solving 5 + -7a = -2 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 + -7a = -2 + -5 Combine like terms: 5 + -5 = 0 0 + -7a = -2 + -5 -7a = -2 + -5 Combine like terms: -2 + -5 = -7 -7a = -7 Divide each side by '-7'. a = 1 Simplifying a = 1
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