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Simplifying 3(s + -8) = 4(3s + 2) Reorder the terms: 3(-8 + s) = 4(3s + 2) (-8 * 3 + s * 3) = 4(3s + 2) (-24 + 3s) = 4(3s + 2) Reorder the terms: -24 + 3s = 4(2 + 3s) -24 + 3s = (2 * 4 + 3s * 4) -24 + 3s = (8 + 12s) Solving -24 + 3s = 8 + 12s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-12s' to each side of the equation. -24 + 3s + -12s = 8 + 12s + -12s Combine like terms: 3s + -12s = -9s -24 + -9s = 8 + 12s + -12s Combine like terms: 12s + -12s = 0 -24 + -9s = 8 + 0 -24 + -9s = 8 Add '24' to each side of the equation. -24 + 24 + -9s = 8 + 24 Combine like terms: -24 + 24 = 0 0 + -9s = 8 + 24 -9s = 8 + 24 Combine like terms: 8 + 24 = 32 -9s = 32 Divide each side by '-9'. s = -3.555555556 Simplifying s = -3.555555556
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