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Simplifying 10(r + -2) = r + 7 Reorder the terms: 10(-2 + r) = r + 7 (-2 * 10 + r * 10) = r + 7 (-20 + 10r) = r + 7 Reorder the terms: -20 + 10r = 7 + r Solving -20 + 10r = 7 + r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. -20 + 10r + -1r = 7 + r + -1r Combine like terms: 10r + -1r = 9r -20 + 9r = 7 + r + -1r Combine like terms: r + -1r = 0 -20 + 9r = 7 + 0 -20 + 9r = 7 Add '20' to each side of the equation. -20 + 20 + 9r = 7 + 20 Combine like terms: -20 + 20 = 0 0 + 9r = 7 + 20 9r = 7 + 20 Combine like terms: 7 + 20 = 27 9r = 27 Divide each side by '9'. r = 3 Simplifying r = 3
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