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Simplifying -8(a + -2) = -3(a + 8) Reorder the terms: -8(-2 + a) = -3(a + 8) (-2 * -8 + a * -8) = -3(a + 8) (16 + -8a) = -3(a + 8) Reorder the terms: 16 + -8a = -3(8 + a) 16 + -8a = (8 * -3 + a * -3) 16 + -8a = (-24 + -3a) Solving 16 + -8a = -24 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. 16 + -8a + 3a = -24 + -3a + 3a Combine like terms: -8a + 3a = -5a 16 + -5a = -24 + -3a + 3a Combine like terms: -3a + 3a = 0 16 + -5a = -24 + 0 16 + -5a = -24 Add '-16' to each side of the equation. 16 + -16 + -5a = -24 + -16 Combine like terms: 16 + -16 = 0 0 + -5a = -24 + -16 -5a = -24 + -16 Combine like terms: -24 + -16 = -40 -5a = -40 Divide each side by '-5'. a = 8 Simplifying a = 8
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