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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 = 16a 48 + 16a = -8 + 2a + -2a Combine like terms: 2a + -2a = 0 48 + 16a = -8 + 0 48 + 16a = -8 Add '-48' to each side of the equation. 48 + -48 + 16a = -8 + -48 Combine like terms: 48 + -48 = 0 0 + 16a = -8 + -48 16a = -8 + -48 Combine like terms: -8 + -48 = -56 16a = -56 Divide each side by '16'. a = -3.5 Simplifying a = -3.5
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