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Simplifying 4 + -1(2 + -7s) = 5(s + 4) 4 + (2 * -1 + -7s * -1) = 5(s + 4) 4 + (-2 + 7s) = 5(s + 4) Combine like terms: 4 + -2 = 2 2 + 7s = 5(s + 4) Reorder the terms: 2 + 7s = 5(4 + s) 2 + 7s = (4 * 5 + s * 5) 2 + 7s = (20 + 5s) Solving 2 + 7s = 20 + 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. 2 + 7s + -5s = 20 + 5s + -5s Combine like terms: 7s + -5s = 2s 2 + 2s = 20 + 5s + -5s Combine like terms: 5s + -5s = 0 2 + 2s = 20 + 0 2 + 2s = 20 Add '-2' to each side of the equation. 2 + -2 + 2s = 20 + -2 Combine like terms: 2 + -2 = 0 0 + 2s = 20 + -2 2s = 20 + -2 Combine like terms: 20 + -2 = 18 2s = 18 Divide each side by '2'. s = 9 Simplifying s = 9
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