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Simplifying 2(s + 3) + 2 = 5(s + -3) + 5 Reorder the terms: 2(3 + s) + 2 = 5(s + -3) + 5 (3 * 2 + s * 2) + 2 = 5(s + -3) + 5 (6 + 2s) + 2 = 5(s + -3) + 5 Reorder the terms: 6 + 2 + 2s = 5(s + -3) + 5 Combine like terms: 6 + 2 = 8 8 + 2s = 5(s + -3) + 5 Reorder the terms: 8 + 2s = 5(-3 + s) + 5 8 + 2s = (-3 * 5 + s * 5) + 5 8 + 2s = (-15 + 5s) + 5 Reorder the terms: 8 + 2s = -15 + 5 + 5s Combine like terms: -15 + 5 = -10 8 + 2s = -10 + 5s Solving 8 + 2s = -10 + 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. 8 + 2s + -5s = -10 + 5s + -5s Combine like terms: 2s + -5s = -3s 8 + -3s = -10 + 5s + -5s Combine like terms: 5s + -5s = 0 8 + -3s = -10 + 0 8 + -3s = -10 Add '-8' to each side of the equation. 8 + -8 + -3s = -10 + -8 Combine like terms: 8 + -8 = 0 0 + -3s = -10 + -8 -3s = -10 + -8 Combine like terms: -10 + -8 = -18 -3s = -18 Divide each side by '-3'. s = 6 Simplifying s = 6
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