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Simplifying 5(s + -1) + -2(s + -2) = 23 Reorder the terms: 5(-1 + s) + -2(s + -2) = 23 (-1 * 5 + s * 5) + -2(s + -2) = 23 (-5 + 5s) + -2(s + -2) = 23 Reorder the terms: -5 + 5s + -2(-2 + s) = 23 -5 + 5s + (-2 * -2 + s * -2) = 23 -5 + 5s + (4 + -2s) = 23 Reorder the terms: -5 + 4 + 5s + -2s = 23 Combine like terms: -5 + 4 = -1 -1 + 5s + -2s = 23 Combine like terms: 5s + -2s = 3s -1 + 3s = 23 Solving -1 + 3s = 23 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 3s = 23 + 1 Combine like terms: -1 + 1 = 0 0 + 3s = 23 + 1 3s = 23 + 1 Combine like terms: 23 + 1 = 24 3s = 24 Divide each side by '3'. s = 8 Simplifying s = 8
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