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