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Simplifying 8(-9s + 20) = -16s + -12 + -13s Reorder the terms: 8(20 + -9s) = -16s + -12 + -13s (20 * 8 + -9s * 8) = -16s + -12 + -13s (160 + -72s) = -16s + -12 + -13s Reorder the terms: 160 + -72s = -12 + -16s + -13s Combine like terms: -16s + -13s = -29s 160 + -72s = -12 + -29s Solving 160 + -72s = -12 + -29s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '29s' to each side of the equation. 160 + -72s + 29s = -12 + -29s + 29s Combine like terms: -72s + 29s = -43s 160 + -43s = -12 + -29s + 29s Combine like terms: -29s + 29s = 0 160 + -43s = -12 + 0 160 + -43s = -12 Add '-160' to each side of the equation. 160 + -160 + -43s = -12 + -160 Combine like terms: 160 + -160 = 0 0 + -43s = -12 + -160 -43s = -12 + -160 Combine like terms: -12 + -160 = -172 -43s = -172 Divide each side by '-43'. s = 4 Simplifying s = 4
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