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Simplifying 42 + -1r + -2(13 + -5r) + 7 = 85 42 + -1r + (13 * -2 + -5r * -2) + 7 = 85 42 + -1r + (-26 + 10r) + 7 = 85 Reorder the terms: 42 + -26 + 7 + -1r + 10r = 85 Combine like terms: 42 + -26 = 16 16 + 7 + -1r + 10r = 85 Combine like terms: 16 + 7 = 23 23 + -1r + 10r = 85 Combine like terms: -1r + 10r = 9r 23 + 9r = 85 Solving 23 + 9r = 85 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 9r = 85 + -23 Combine like terms: 23 + -23 = 0 0 + 9r = 85 + -23 9r = 85 + -23 Combine like terms: 85 + -23 = 62 9r = 62 Divide each side by '9'. r = 6.888888889 Simplifying r = 6.888888889
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