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Simplifying (1 + -2a)(3 + 5) + -2 = -10 Combine like terms: 3 + 5 = 8 (1 + -2a)(8) + -2 = -10 Reorder the terms for easier multiplication: 8(1 + -2a) + -2 = -10 (1 * 8 + -2a * 8) + -2 = -10 (8 + -16a) + -2 = -10 Reorder the terms: 8 + -2 + -16a = -10 Combine like terms: 8 + -2 = 6 6 + -16a = -10 Solving 6 + -16a = -10 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -16a = -10 + -6 Combine like terms: 6 + -6 = 0 0 + -16a = -10 + -6 -16a = -10 + -6 Combine like terms: -10 + -6 = -16 -16a = -16 Divide each side by '-16'. a = 1 Simplifying a = 1
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