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Simplifying 5(2r + -2) = 9(r + 4) Reorder the terms: 5(-2 + 2r) = 9(r + 4) (-2 * 5 + 2r * 5) = 9(r + 4) (-10 + 10r) = 9(r + 4) Reorder the terms: -10 + 10r = 9(4 + r) -10 + 10r = (4 * 9 + r * 9) -10 + 10r = (36 + 9r) Solving -10 + 10r = 36 + 9r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9r' to each side of the equation. -10 + 10r + -9r = 36 + 9r + -9r Combine like terms: 10r + -9r = 1r -10 + 1r = 36 + 9r + -9r Combine like terms: 9r + -9r = 0 -10 + 1r = 36 + 0 -10 + 1r = 36 Add '10' to each side of the equation. -10 + 10 + 1r = 36 + 10 Combine like terms: -10 + 10 = 0 0 + 1r = 36 + 10 1r = 36 + 10 Combine like terms: 36 + 10 = 46 1r = 46 Divide each side by '1'. r = 46 Simplifying r = 46
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