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Simplifying 5(s + -1) = 94 + -2(s + -4) Reorder the terms: 5(-1 + s) = 94 + -2(s + -4) (-1 * 5 + s * 5) = 94 + -2(s + -4) (-5 + 5s) = 94 + -2(s + -4) Reorder the terms: -5 + 5s = 94 + -2(-4 + s) -5 + 5s = 94 + (-4 * -2 + s * -2) -5 + 5s = 94 + (8 + -2s) Combine like terms: 94 + 8 = 102 -5 + 5s = 102 + -2s Solving -5 + 5s = 102 + -2s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '2s' to each side of the equation. -5 + 5s + 2s = 102 + -2s + 2s Combine like terms: 5s + 2s = 7s -5 + 7s = 102 + -2s + 2s Combine like terms: -2s + 2s = 0 -5 + 7s = 102 + 0 -5 + 7s = 102 Add '5' to each side of the equation. -5 + 5 + 7s = 102 + 5 Combine like terms: -5 + 5 = 0 0 + 7s = 102 + 5 7s = 102 + 5 Combine like terms: 102 + 5 = 107 7s = 107 Divide each side by '7'. s = 15.28571429 Simplifying s = 15.28571429
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