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Simplifying 3(s + -8) = 5(3s + 2) Reorder the terms: 3(-8 + s) = 5(3s + 2) (-8 * 3 + s * 3) = 5(3s + 2) (-24 + 3s) = 5(3s + 2) Reorder the terms: -24 + 3s = 5(2 + 3s) -24 + 3s = (2 * 5 + 3s * 5) -24 + 3s = (10 + 15s) Solving -24 + 3s = 10 + 15s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-15s' to each side of the equation. -24 + 3s + -15s = 10 + 15s + -15s Combine like terms: 3s + -15s = -12s -24 + -12s = 10 + 15s + -15s Combine like terms: 15s + -15s = 0 -24 + -12s = 10 + 0 -24 + -12s = 10 Add '24' to each side of the equation. -24 + 24 + -12s = 10 + 24 Combine like terms: -24 + 24 = 0 0 + -12s = 10 + 24 -12s = 10 + 24 Combine like terms: 10 + 24 = 34 -12s = 34 Divide each side by '-12'. s = -2.833333333 Simplifying s = -2.833333333
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