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Simplifying 6r + 3r + 7 = 2r + 35 Reorder the terms: 7 + 6r + 3r = 2r + 35 Combine like terms: 6r + 3r = 9r 7 + 9r = 2r + 35 Reorder the terms: 7 + 9r = 35 + 2r Solving 7 + 9r = 35 + 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. 7 + 9r + -2r = 35 + 2r + -2r Combine like terms: 9r + -2r = 7r 7 + 7r = 35 + 2r + -2r Combine like terms: 2r + -2r = 0 7 + 7r = 35 + 0 7 + 7r = 35 Add '-7' to each side of the equation. 7 + -7 + 7r = 35 + -7 Combine like terms: 7 + -7 = 0 0 + 7r = 35 + -7 7r = 35 + -7 Combine like terms: 35 + -7 = 28 7r = 28 Divide each side by '7'. r = 4 Simplifying r = 4
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