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Simplifying -3 + 8(1 + -2a) = 4a + -15 -3 + (1 * 8 + -2a * 8) = 4a + -15 -3 + (8 + -16a) = 4a + -15 Combine like terms: -3 + 8 = 5 5 + -16a = 4a + -15 Reorder the terms: 5 + -16a = -15 + 4a Solving 5 + -16a = -15 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 5 + -16a + -4a = -15 + 4a + -4a Combine like terms: -16a + -4a = -20a 5 + -20a = -15 + 4a + -4a Combine like terms: 4a + -4a = 0 5 + -20a = -15 + 0 5 + -20a = -15 Add '-5' to each side of the equation. 5 + -5 + -20a = -15 + -5 Combine like terms: 5 + -5 = 0 0 + -20a = -15 + -5 -20a = -15 + -5 Combine like terms: -15 + -5 = -20 -20a = -20 Divide each side by '-20'. a = 1 Simplifying a = 1
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