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Simplifying -8(-1a + -3) = 8(4 + 2a) Reorder the terms: -8(-3 + -1a) = 8(4 + 2a) (-3 * -8 + -1a * -8) = 8(4 + 2a) (24 + 8a) = 8(4 + 2a) 24 + 8a = (4 * 8 + 2a * 8) 24 + 8a = (32 + 16a) Solving 24 + 8a = 32 + 16a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16a' to each side of the equation. 24 + 8a + -16a = 32 + 16a + -16a Combine like terms: 8a + -16a = -8a 24 + -8a = 32 + 16a + -16a Combine like terms: 16a + -16a = 0 24 + -8a = 32 + 0 24 + -8a = 32 Add '-24' to each side of the equation. 24 + -24 + -8a = 32 + -24 Combine like terms: 24 + -24 = 0 0 + -8a = 32 + -24 -8a = 32 + -24 Combine like terms: 32 + -24 = 8 -8a = 8 Divide each side by '-8'. a = -1 Simplifying a = -1
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