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Simplifying 3(s + -8) = 5(s + -4) + 6 Reorder the terms: 3(-8 + s) = 5(s + -4) + 6 (-8 * 3 + s * 3) = 5(s + -4) + 6 (-24 + 3s) = 5(s + -4) + 6 Reorder the terms: -24 + 3s = 5(-4 + s) + 6 -24 + 3s = (-4 * 5 + s * 5) + 6 -24 + 3s = (-20 + 5s) + 6 Reorder the terms: -24 + 3s = -20 + 6 + 5s Combine like terms: -20 + 6 = -14 -24 + 3s = -14 + 5s Solving -24 + 3s = -14 + 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 = -14 + 5s + -5s Combine like terms: 3s + -5s = -2s -24 + -2s = -14 + 5s + -5s Combine like terms: 5s + -5s = 0 -24 + -2s = -14 + 0 -24 + -2s = -14 Add '24' to each side of the equation. -24 + 24 + -2s = -14 + 24 Combine like terms: -24 + 24 = 0 0 + -2s = -14 + 24 -2s = -14 + 24 Combine like terms: -14 + 24 = 10 -2s = 10 Divide each side by '-2'. s = -5 Simplifying s = -5
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