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Simplifying 9r + -79 = 41 + -1r Reorder the terms: -79 + 9r = 41 + -1r Solving -79 + 9r = 41 + -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. -79 + 9r + r = 41 + -1r + r Combine like terms: 9r + r = 10r -79 + 10r = 41 + -1r + r Combine like terms: -1r + r = 0 -79 + 10r = 41 + 0 -79 + 10r = 41 Add '79' to each side of the equation. -79 + 79 + 10r = 41 + 79 Combine like terms: -79 + 79 = 0 0 + 10r = 41 + 79 10r = 41 + 79 Combine like terms: 41 + 79 = 120 10r = 120 Divide each side by '10'. r = 12 Simplifying r = 12
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