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Simplifying 8r + 5 = -7r + 35 Reorder the terms: 5 + 8r = -7r + 35 Reorder the terms: 5 + 8r = 35 + -7r Solving 5 + 8r = 35 + -7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '7r' to each side of the equation. 5 + 8r + 7r = 35 + -7r + 7r Combine like terms: 8r + 7r = 15r 5 + 15r = 35 + -7r + 7r Combine like terms: -7r + 7r = 0 5 + 15r = 35 + 0 5 + 15r = 35 Add '-5' to each side of the equation. 5 + -5 + 15r = 35 + -5 Combine like terms: 5 + -5 = 0 0 + 15r = 35 + -5 15r = 35 + -5 Combine like terms: 35 + -5 = 30 15r = 30 Divide each side by '15'. r = 2 Simplifying r = 2
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