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Simplifying 5(2s + -1) + 3 = 3(3s + 2) Reorder the terms: 5(-1 + 2s) + 3 = 3(3s + 2) (-1 * 5 + 2s * 5) + 3 = 3(3s + 2) (-5 + 10s) + 3 = 3(3s + 2) Reorder the terms: -5 + 3 + 10s = 3(3s + 2) Combine like terms: -5 + 3 = -2 -2 + 10s = 3(3s + 2) Reorder the terms: -2 + 10s = 3(2 + 3s) -2 + 10s = (2 * 3 + 3s * 3) -2 + 10s = (6 + 9s) Solving -2 + 10s = 6 + 9s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-9s' to each side of the equation. -2 + 10s + -9s = 6 + 9s + -9s Combine like terms: 10s + -9s = 1s -2 + 1s = 6 + 9s + -9s Combine like terms: 9s + -9s = 0 -2 + 1s = 6 + 0 -2 + 1s = 6 Add '2' to each side of the equation. -2 + 2 + 1s = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 1s = 6 + 2 1s = 6 + 2 Combine like terms: 6 + 2 = 8 1s = 8 Divide each side by '1'. s = 8 Simplifying s = 8
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