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Simplifying 3(s + 1) + -8 = 5(s + -3) Reorder the terms: 3(1 + s) + -8 = 5(s + -3) (1 * 3 + s * 3) + -8 = 5(s + -3) (3 + 3s) + -8 = 5(s + -3) Reorder the terms: 3 + -8 + 3s = 5(s + -3) Combine like terms: 3 + -8 = -5 -5 + 3s = 5(s + -3) Reorder the terms: -5 + 3s = 5(-3 + s) -5 + 3s = (-3 * 5 + s * 5) -5 + 3s = (-15 + 5s) Solving -5 + 3s = -15 + 5s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-5s' to each side of the equation. -5 + 3s + -5s = -15 + 5s + -5s Combine like terms: 3s + -5s = -2s -5 + -2s = -15 + 5s + -5s Combine like terms: 5s + -5s = 0 -5 + -2s = -15 + 0 -5 + -2s = -15 Add '5' to each side of the equation. -5 + 5 + -2s = -15 + 5 Combine like terms: -5 + 5 = 0 0 + -2s = -15 + 5 -2s = -15 + 5 Combine like terms: -15 + 5 = -10 -2s = -10 Divide each side by '-2'. s = 5 Simplifying s = 5
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