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Simplifying 2(s + 6) = 5(s + 12) Reorder the terms: 2(6 + s) = 5(s + 12) (6 * 2 + s * 2) = 5(s + 12) (12 + 2s) = 5(s + 12) Reorder the terms: 12 + 2s = 5(12 + s) 12 + 2s = (12 * 5 + s * 5) 12 + 2s = (60 + 5s) Solving 12 + 2s = 60 + 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. 12 + 2s + -5s = 60 + 5s + -5s Combine like terms: 2s + -5s = -3s 12 + -3s = 60 + 5s + -5s Combine like terms: 5s + -5s = 0 12 + -3s = 60 + 0 12 + -3s = 60 Add '-12' to each side of the equation. 12 + -12 + -3s = 60 + -12 Combine like terms: 12 + -12 = 0 0 + -3s = 60 + -12 -3s = 60 + -12 Combine like terms: 60 + -12 = 48 -3s = 48 Divide each side by '-3'. s = -16 Simplifying s = -16
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