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Simplifying -10 + 5r + 7r = 10 + 10r Combine like terms: 5r + 7r = 12r -10 + 12r = 10 + 10r Solving -10 + 12r = 10 + 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. -10 + 12r + -10r = 10 + 10r + -10r Combine like terms: 12r + -10r = 2r -10 + 2r = 10 + 10r + -10r Combine like terms: 10r + -10r = 0 -10 + 2r = 10 + 0 -10 + 2r = 10 Add '10' to each side of the equation. -10 + 10 + 2r = 10 + 10 Combine like terms: -10 + 10 = 0 0 + 2r = 10 + 10 2r = 10 + 10 Combine like terms: 10 + 10 = 20 2r = 20 Divide each side by '2'. r = 10 Simplifying r = 10
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