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Simplifying 3(s + -8) = 5(3s + 2) + -10s Reorder the terms: 3(-8 + s) = 5(3s + 2) + -10s (-8 * 3 + s * 3) = 5(3s + 2) + -10s (-24 + 3s) = 5(3s + 2) + -10s Reorder the terms: -24 + 3s = 5(2 + 3s) + -10s -24 + 3s = (2 * 5 + 3s * 5) + -10s -24 + 3s = (10 + 15s) + -10s Combine like terms: 15s + -10s = 5s -24 + 3s = 10 + 5s Solving -24 + 3s = 10 + 5s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-5s' to each side of the equation. -24 + 3s + -5s = 10 + 5s + -5s Combine like terms: 3s + -5s = -2s -24 + -2s = 10 + 5s + -5s Combine like terms: 5s + -5s = 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 = 34 -2s = 34 Divide each side by '-2'. s = -17 Simplifying s = -17
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