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Simplifying 3(-10s + 8) = -2(16s + -5) Reorder the terms: 3(8 + -10s) = -2(16s + -5) (8 * 3 + -10s * 3) = -2(16s + -5) (24 + -30s) = -2(16s + -5) Reorder the terms: 24 + -30s = -2(-5 + 16s) 24 + -30s = (-5 * -2 + 16s * -2) 24 + -30s = (10 + -32s) Solving 24 + -30s = 10 + -32s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '32s' to each side of the equation. 24 + -30s + 32s = 10 + -32s + 32s Combine like terms: -30s + 32s = 2s 24 + 2s = 10 + -32s + 32s Combine like terms: -32s + 32s = 0 24 + 2s = 10 + 0 24 + 2s = 10 Add '-24' to each side of the equation. 24 + -24 + 2s = 10 + -24 Combine like terms: 24 + -24 = 0 0 + 2s = 10 + -24 2s = 10 + -24 Combine like terms: 10 + -24 = -14 2s = -14 Divide each side by '2'. s = -7 Simplifying s = -7
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