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Simplifying 5(s + -2) = 4(2s + 5) Reorder the terms: 5(-2 + s) = 4(2s + 5) (-2 * 5 + s * 5) = 4(2s + 5) (-10 + 5s) = 4(2s + 5) Reorder the terms: -10 + 5s = 4(5 + 2s) -10 + 5s = (5 * 4 + 2s * 4) -10 + 5s = (20 + 8s) Solving -10 + 5s = 20 + 8s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-8s' to each side of the equation. -10 + 5s + -8s = 20 + 8s + -8s Combine like terms: 5s + -8s = -3s -10 + -3s = 20 + 8s + -8s Combine like terms: 8s + -8s = 0 -10 + -3s = 20 + 0 -10 + -3s = 20 Add '10' to each side of the equation. -10 + 10 + -3s = 20 + 10 Combine like terms: -10 + 10 = 0 0 + -3s = 20 + 10 -3s = 20 + 10 Combine like terms: 20 + 10 = 30 -3s = 30 Divide each side by '-3'. s = -10 Simplifying s = -10
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