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Simplifying -2(4s + -5) + -10 = -2(7s + 10) + -2 Reorder the terms: -2(-5 + 4s) + -10 = -2(7s + 10) + -2 (-5 * -2 + 4s * -2) + -10 = -2(7s + 10) + -2 (10 + -8s) + -10 = -2(7s + 10) + -2 Reorder the terms: 10 + -10 + -8s = -2(7s + 10) + -2 Combine like terms: 10 + -10 = 0 0 + -8s = -2(7s + 10) + -2 -8s = -2(7s + 10) + -2 Reorder the terms: -8s = -2(10 + 7s) + -2 -8s = (10 * -2 + 7s * -2) + -2 -8s = (-20 + -14s) + -2 Reorder the terms: -8s = -20 + -2 + -14s Combine like terms: -20 + -2 = -22 -8s = -22 + -14s Solving -8s = -22 + -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. -8s + 14s = -22 + -14s + 14s Combine like terms: -8s + 14s = 6s 6s = -22 + -14s + 14s Combine like terms: -14s + 14s = 0 6s = -22 + 0 6s = -22 Divide each side by '6'. s = -3.666666667 Simplifying s = -3.666666667
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