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Simplifying 2r + 5(r + 7) = -2r + -37 Reorder the terms: 2r + 5(7 + r) = -2r + -37 2r + (7 * 5 + r * 5) = -2r + -37 2r + (35 + 5r) = -2r + -37 Reorder the terms: 35 + 2r + 5r = -2r + -37 Combine like terms: 2r + 5r = 7r 35 + 7r = -2r + -37 Reorder the terms: 35 + 7r = -37 + -2r Solving 35 + 7r = -37 + -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. 35 + 7r + 2r = -37 + -2r + 2r Combine like terms: 7r + 2r = 9r 35 + 9r = -37 + -2r + 2r Combine like terms: -2r + 2r = 0 35 + 9r = -37 + 0 35 + 9r = -37 Add '-35' to each side of the equation. 35 + -35 + 9r = -37 + -35 Combine like terms: 35 + -35 = 0 0 + 9r = -37 + -35 9r = -37 + -35 Combine like terms: -37 + -35 = -72 9r = -72 Divide each side by '9'. r = -8 Simplifying r = -8
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