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Simplifying -2(3s + -5) + -10 = -2(7s + 11) + -2 Reorder the terms: -2(-5 + 3s) + -10 = -2(7s + 11) + -2 (-5 * -2 + 3s * -2) + -10 = -2(7s + 11) + -2 (10 + -6s) + -10 = -2(7s + 11) + -2 Reorder the terms: 10 + -10 + -6s = -2(7s + 11) + -2 Combine like terms: 10 + -10 = 0 0 + -6s = -2(7s + 11) + -2 -6s = -2(7s + 11) + -2 Reorder the terms: -6s = -2(11 + 7s) + -2 -6s = (11 * -2 + 7s * -2) + -2 -6s = (-22 + -14s) + -2 Reorder the terms: -6s = -22 + -2 + -14s Combine like terms: -22 + -2 = -24 -6s = -24 + -14s Solving -6s = -24 + -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. -6s + 14s = -24 + -14s + 14s Combine like terms: -6s + 14s = 8s 8s = -24 + -14s + 14s Combine like terms: -14s + 14s = 0 8s = -24 + 0 8s = -24 Divide each side by '8'. s = -3 Simplifying s = -3
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