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Simplifying -2(5s + -6) + -12 = -2(7s + 5) + -3 Reorder the terms: -2(-6 + 5s) + -12 = -2(7s + 5) + -3 (-6 * -2 + 5s * -2) + -12 = -2(7s + 5) + -3 (12 + -10s) + -12 = -2(7s + 5) + -3 Reorder the terms: 12 + -12 + -10s = -2(7s + 5) + -3 Combine like terms: 12 + -12 = 0 0 + -10s = -2(7s + 5) + -3 -10s = -2(7s + 5) + -3 Reorder the terms: -10s = -2(5 + 7s) + -3 -10s = (5 * -2 + 7s * -2) + -3 -10s = (-10 + -14s) + -3 Reorder the terms: -10s = -10 + -3 + -14s Combine like terms: -10 + -3 = -13 -10s = -13 + -14s Solving -10s = -13 + -14s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '14s' to each side of the equation. -10s + 14s = -13 + -14s + 14s Combine like terms: -10s + 14s = 4s 4s = -13 + -14s + 14s Combine like terms: -14s + 14s = 0 4s = -13 + 0 4s = -13 Divide each side by '4'. s = -3.25 Simplifying s = -3.25
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