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Simplifying 5(3 + -1s) + -1 = 3(2s + 1) (3 * 5 + -1s * 5) + -1 = 3(2s + 1) (15 + -5s) + -1 = 3(2s + 1) Reorder the terms: 15 + -1 + -5s = 3(2s + 1) Combine like terms: 15 + -1 = 14 14 + -5s = 3(2s + 1) Reorder the terms: 14 + -5s = 3(1 + 2s) 14 + -5s = (1 * 3 + 2s * 3) 14 + -5s = (3 + 6s) Solving 14 + -5s = 3 + 6s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-6s' to each side of the equation. 14 + -5s + -6s = 3 + 6s + -6s Combine like terms: -5s + -6s = -11s 14 + -11s = 3 + 6s + -6s Combine like terms: 6s + -6s = 0 14 + -11s = 3 + 0 14 + -11s = 3 Add '-14' to each side of the equation. 14 + -14 + -11s = 3 + -14 Combine like terms: 14 + -14 = 0 0 + -11s = 3 + -14 -11s = 3 + -14 Combine like terms: 3 + -14 = -11 -11s = -11 Divide each side by '-11'. s = 1 Simplifying s = 1
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