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Simplifying 5 + 2(3s + 1) = s + 12 Reorder the terms: 5 + 2(1 + 3s) = s + 12 5 + (1 * 2 + 3s * 2) = s + 12 5 + (2 + 6s) = s + 12 Combine like terms: 5 + 2 = 7 7 + 6s = s + 12 Reorder the terms: 7 + 6s = 12 + s Solving 7 + 6s = 12 + s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-1s' to each side of the equation. 7 + 6s + -1s = 12 + s + -1s Combine like terms: 6s + -1s = 5s 7 + 5s = 12 + s + -1s Combine like terms: s + -1s = 0 7 + 5s = 12 + 0 7 + 5s = 12 Add '-7' to each side of the equation. 7 + -7 + 5s = 12 + -7 Combine like terms: 7 + -7 = 0 0 + 5s = 12 + -7 5s = 12 + -7 Combine like terms: 12 + -7 = 5 5s = 5 Divide each side by '5'. s = 1 Simplifying s = 1
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