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Simplifying 3(6s + 12) + -4(-9 + 3x) = -14 Reorder the terms: 3(12 + 6s) + -4(-9 + 3x) = -14 (12 * 3 + 6s * 3) + -4(-9 + 3x) = -14 (36 + 18s) + -4(-9 + 3x) = -14 36 + 18s + (-9 * -4 + 3x * -4) = -14 36 + 18s + (36 + -12x) = -14 Reorder the terms: 36 + 36 + 18s + -12x = -14 Combine like terms: 36 + 36 = 72 72 + 18s + -12x = -14 Solving 72 + 18s + -12x = -14 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-72' to each side of the equation. 72 + 18s + -72 + -12x = -14 + -72 Reorder the terms: 72 + -72 + 18s + -12x = -14 + -72 Combine like terms: 72 + -72 = 0 0 + 18s + -12x = -14 + -72 18s + -12x = -14 + -72 Combine like terms: -14 + -72 = -86 18s + -12x = -86 Add '12x' to each side of the equation. 18s + -12x + 12x = -86 + 12x Combine like terms: -12x + 12x = 0 18s + 0 = -86 + 12x 18s = -86 + 12x Divide each side by '18'. s = -4.777777778 + 0.6666666667x Simplifying s = -4.777777778 + 0.6666666667x
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