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Simplifying 6(4a + 12) = 8(3s + -14) Reorder the terms: 6(12 + 4a) = 8(3s + -14) (12 * 6 + 4a * 6) = 8(3s + -14) (72 + 24a) = 8(3s + -14) Reorder the terms: 72 + 24a = 8(-14 + 3s) 72 + 24a = (-14 * 8 + 3s * 8) 72 + 24a = (-112 + 24s) Solving 72 + 24a = -112 + 24s Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-72' to each side of the equation. 72 + -72 + 24a = -112 + -72 + 24s Combine like terms: 72 + -72 = 0 0 + 24a = -112 + -72 + 24s 24a = -112 + -72 + 24s Combine like terms: -112 + -72 = -184 24a = -184 + 24s Divide each side by '24'. a = -7.666666667 + s Simplifying a = -7.666666667 + s
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