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Simplifying 7 + 9r + -6 = 6r + 29 + -4r Reorder the terms: 7 + -6 + 9r = 6r + 29 + -4r Combine like terms: 7 + -6 = 1 1 + 9r = 6r + 29 + -4r Reorder the terms: 1 + 9r = 29 + 6r + -4r Combine like terms: 6r + -4r = 2r 1 + 9r = 29 + 2r Solving 1 + 9r = 29 + 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. 1 + 9r + -2r = 29 + 2r + -2r Combine like terms: 9r + -2r = 7r 1 + 7r = 29 + 2r + -2r Combine like terms: 2r + -2r = 0 1 + 7r = 29 + 0 1 + 7r = 29 Add '-1' to each side of the equation. 1 + -1 + 7r = 29 + -1 Combine like terms: 1 + -1 = 0 0 + 7r = 29 + -1 7r = 29 + -1 Combine like terms: 29 + -1 = 28 7r = 28 Divide each side by '7'. r = 4 Simplifying r = 4
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