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Simplifying -2(4s + -5) + -10 = -2(6s + 9) + -2 Reorder the terms: -2(-5 + 4s) + -10 = -2(6s + 9) + -2 (-5 * -2 + 4s * -2) + -10 = -2(6s + 9) + -2 (10 + -8s) + -10 = -2(6s + 9) + -2 Reorder the terms: 10 + -10 + -8s = -2(6s + 9) + -2 Combine like terms: 10 + -10 = 0 0 + -8s = -2(6s + 9) + -2 -8s = -2(6s + 9) + -2 Reorder the terms: -8s = -2(9 + 6s) + -2 -8s = (9 * -2 + 6s * -2) + -2 -8s = (-18 + -12s) + -2 Reorder the terms: -8s = -18 + -2 + -12s Combine like terms: -18 + -2 = -20 -8s = -20 + -12s Solving -8s = -20 + -12s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '12s' to each side of the equation. -8s + 12s = -20 + -12s + 12s Combine like terms: -8s + 12s = 4s 4s = -20 + -12s + 12s Combine like terms: -12s + 12s = 0 4s = -20 + 0 4s = -20 Divide each side by '4'. s = -5 Simplifying s = -5
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