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Simplifying r2 + -9r = r2 + -10r + 25 Reorder the terms: -9r + r2 = r2 + -10r + 25 Reorder the terms: -9r + r2 = 25 + -10r + r2 Add '-1r2' to each side of the equation. -9r + r2 + -1r2 = 25 + -10r + r2 + -1r2 Combine like terms: r2 + -1r2 = 0 -9r + 0 = 25 + -10r + r2 + -1r2 -9r = 25 + -10r + r2 + -1r2 Combine like terms: r2 + -1r2 = 0 -9r = 25 + -10r + 0 -9r = 25 + -10r Solving -9r = 25 + -10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '10r' to each side of the equation. -9r + 10r = 25 + -10r + 10r Combine like terms: -9r + 10r = 1r 1r = 25 + -10r + 10r Combine like terms: -10r + 10r = 0 1r = 25 + 0 1r = 25 Divide each side by '1'. r = 25 Simplifying r = 25
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