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Simplifying 5(s + -13) + 2(s + -25) = 11 Reorder the terms: 5(-13 + s) + 2(s + -25) = 11 (-13 * 5 + s * 5) + 2(s + -25) = 11 (-65 + 5s) + 2(s + -25) = 11 Reorder the terms: -65 + 5s + 2(-25 + s) = 11 -65 + 5s + (-25 * 2 + s * 2) = 11 -65 + 5s + (-50 + 2s) = 11 Reorder the terms: -65 + -50 + 5s + 2s = 11 Combine like terms: -65 + -50 = -115 -115 + 5s + 2s = 11 Combine like terms: 5s + 2s = 7s -115 + 7s = 11 Solving -115 + 7s = 11 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '115' to each side of the equation. -115 + 115 + 7s = 11 + 115 Combine like terms: -115 + 115 = 0 0 + 7s = 11 + 115 7s = 11 + 115 Combine like terms: 11 + 115 = 126 7s = 126 Divide each side by '7'. s = 18 Simplifying s = 18
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