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Simplifying 4 + 9r + -1 = 6r + 52 + -4r Reorder the terms: 4 + -1 + 9r = 6r + 52 + -4r Combine like terms: 4 + -1 = 3 3 + 9r = 6r + 52 + -4r Reorder the terms: 3 + 9r = 52 + 6r + -4r Combine like terms: 6r + -4r = 2r 3 + 9r = 52 + 2r Solving 3 + 9r = 52 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 3 + 9r + -2r = 52 + 2r + -2r Combine like terms: 9r + -2r = 7r 3 + 7r = 52 + 2r + -2r Combine like terms: 2r + -2r = 0 3 + 7r = 52 + 0 3 + 7r = 52 Add '-3' to each side of the equation. 3 + -3 + 7r = 52 + -3 Combine like terms: 3 + -3 = 0 0 + 7r = 52 + -3 7r = 52 + -3 Combine like terms: 52 + -3 = 49 7r = 49 Divide each side by '7'. r = 7 Simplifying r = 7
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