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Simplifying 4(2r + 9) = 3r + -14 Reorder the terms: 4(9 + 2r) = 3r + -14 (9 * 4 + 2r * 4) = 3r + -14 (36 + 8r) = 3r + -14 Reorder the terms: 36 + 8r = -14 + 3r Solving 36 + 8r = -14 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 36 + 8r + -3r = -14 + 3r + -3r Combine like terms: 8r + -3r = 5r 36 + 5r = -14 + 3r + -3r Combine like terms: 3r + -3r = 0 36 + 5r = -14 + 0 36 + 5r = -14 Add '-36' to each side of the equation. 36 + -36 + 5r = -14 + -36 Combine like terms: 36 + -36 = 0 0 + 5r = -14 + -36 5r = -14 + -36 Combine like terms: -14 + -36 = -50 5r = -50 Divide each side by '5'. r = -10 Simplifying r = -10
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