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Simplifying 3(s + 1) + -1(s + -1) * 2 = 1 + -1(5 + -3s) Reorder the terms: 3(1 + s) + -1(s + -1) * 2 = 1 + -1(5 + -3s) (1 * 3 + s * 3) + -1(s + -1) * 2 = 1 + -1(5 + -3s) (3 + 3s) + -1(s + -1) * 2 = 1 + -1(5 + -3s) Reorder the terms: 3 + 3s + -1(-1 + s) * 2 = 1 + -1(5 + -3s) Reorder the terms for easier multiplication: 3 + 3s + -1 * 2(-1 + s) = 1 + -1(5 + -3s) Multiply -1 * 2 3 + 3s + -2(-1 + s) = 1 + -1(5 + -3s) 3 + 3s + (-1 * -2 + s * -2) = 1 + -1(5 + -3s) 3 + 3s + (2 + -2s) = 1 + -1(5 + -3s) Reorder the terms: 3 + 2 + 3s + -2s = 1 + -1(5 + -3s) Combine like terms: 3 + 2 = 5 5 + 3s + -2s = 1 + -1(5 + -3s) Combine like terms: 3s + -2s = 1s 5 + 1s = 1 + -1(5 + -3s) 5 + 1s = 1 + (5 * -1 + -3s * -1) 5 + 1s = 1 + (-5 + 3s) Combine like terms: 1 + -5 = -4 5 + 1s = -4 + 3s Solving 5 + 1s = -4 + 3s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-3s' to each side of the equation. 5 + 1s + -3s = -4 + 3s + -3s Combine like terms: 1s + -3s = -2s 5 + -2s = -4 + 3s + -3s Combine like terms: 3s + -3s = 0 5 + -2s = -4 + 0 5 + -2s = -4 Add '-5' to each side of the equation. 5 + -5 + -2s = -4 + -5 Combine like terms: 5 + -5 = 0 0 + -2s = -4 + -5 -2s = -4 + -5 Combine like terms: -4 + -5 = -9 -2s = -9 Divide each side by '-2'. s = 4.5 Simplifying s = 4.5
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