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Simplifying 5(s + 2) = 7(s + -1) Reorder the terms: 5(2 + s) = 7(s + -1) (2 * 5 + s * 5) = 7(s + -1) (10 + 5s) = 7(s + -1) Reorder the terms: 10 + 5s = 7(-1 + s) 10 + 5s = (-1 * 7 + s * 7) 10 + 5s = (-7 + 7s) Solving 10 + 5s = -7 + 7s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-7s' to each side of the equation. 10 + 5s + -7s = -7 + 7s + -7s Combine like terms: 5s + -7s = -2s 10 + -2s = -7 + 7s + -7s Combine like terms: 7s + -7s = 0 10 + -2s = -7 + 0 10 + -2s = -7 Add '-10' to each side of the equation. 10 + -10 + -2s = -7 + -10 Combine like terms: 10 + -10 = 0 0 + -2s = -7 + -10 -2s = -7 + -10 Combine like terms: -7 + -10 = -17 -2s = -17 Divide each side by '-2'. s = 8.5 Simplifying s = 8.5
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