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Simplifying 6(4s + 12) = (3s + -14) Reorder the terms: 6(12 + 4s) = (3s + -14) (12 * 6 + 4s * 6) = (3s + -14) (72 + 24s) = (3s + -14) Reorder the terms: 72 + 24s = (-14 + 3s) Remove parenthesis around (-14 + 3s) 72 + 24s = -14 + 3s Solving 72 + 24s = -14 + 3s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-3s' to each side of the equation. 72 + 24s + -3s = -14 + 3s + -3s Combine like terms: 24s + -3s = 21s 72 + 21s = -14 + 3s + -3s Combine like terms: 3s + -3s = 0 72 + 21s = -14 + 0 72 + 21s = -14 Add '-72' to each side of the equation. 72 + -72 + 21s = -14 + -72 Combine like terms: 72 + -72 = 0 0 + 21s = -14 + -72 21s = -14 + -72 Combine like terms: -14 + -72 = -86 21s = -86 Divide each side by '21'. s = -4.095238095 Simplifying s = -4.095238095
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