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Simplifying 14 + -1(2r + 5) = -3r + 12 Reorder the terms: 14 + -1(5 + 2r) = -3r + 12 14 + (5 * -1 + 2r * -1) = -3r + 12 14 + (-5 + -2r) = -3r + 12 Combine like terms: 14 + -5 = 9 9 + -2r = -3r + 12 Reorder the terms: 9 + -2r = 12 + -3r Solving 9 + -2r = 12 + -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. 9 + -2r + 3r = 12 + -3r + 3r Combine like terms: -2r + 3r = 1r 9 + 1r = 12 + -3r + 3r Combine like terms: -3r + 3r = 0 9 + 1r = 12 + 0 9 + 1r = 12 Add '-9' to each side of the equation. 9 + -9 + 1r = 12 + -9 Combine like terms: 9 + -9 = 0 0 + 1r = 12 + -9 1r = 12 + -9 Combine like terms: 12 + -9 = 3 1r = 3 Divide each side by '1'. r = 3 Simplifying r = 3
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