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Simplifying 5(2r + -2) = 9r Reorder the terms: 5(-2 + 2r) = 9r (-2 * 5 + 2r * 5) = 9r (-10 + 10r) = 9r Solving -10 + 10r = 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 = 9r + -9r Combine like terms: 10r + -9r = 1r -10 + 1r = 9r + -9r Combine like terms: 9r + -9r = 0 -10 + 1r = 0 Add '10' to each side of the equation. -10 + 10 + 1r = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 1r = 0 + 10 1r = 0 + 10 Combine like terms: 0 + 10 = 10 1r = 10 Divide each side by '1'. r = 10 Simplifying r = 10
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