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Simplifying 6(8 + 3a) = -2(a + -4) (8 * 6 + 3a * 6) = -2(a + -4) (48 + 18a) = -2(a + -4) Reorder the terms: 48 + 18a = -2(-4 + a) 48 + 18a = (-4 * -2 + a * -2) 48 + 18a = (8 + -2a) Solving 48 + 18a = 8 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 48 + 18a + 2a = 8 + -2a + 2a Combine like terms: 18a + 2a = 20a 48 + 20a = 8 + -2a + 2a Combine like terms: -2a + 2a = 0 48 + 20a = 8 + 0 48 + 20a = 8 Add '-48' to each side of the equation. 48 + -48 + 20a = 8 + -48 Combine like terms: 48 + -48 = 0 0 + 20a = 8 + -48 20a = 8 + -48 Combine like terms: 8 + -48 = -40 20a = -40 Divide each side by '20'. a = -2 Simplifying a = -2
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