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Simplifying -2r + 4 = 3r + 14 Reorder the terms: 4 + -2r = 3r + 14 Reorder the terms: 4 + -2r = 14 + 3r Solving 4 + -2r = 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. 4 + -2r + -3r = 14 + 3r + -3r Combine like terms: -2r + -3r = -5r 4 + -5r = 14 + 3r + -3r Combine like terms: 3r + -3r = 0 4 + -5r = 14 + 0 4 + -5r = 14 Add '-4' to each side of the equation. 4 + -4 + -5r = 14 + -4 Combine like terms: 4 + -4 = 0 0 + -5r = 14 + -4 -5r = 14 + -4 Combine like terms: 14 + -4 = 10 -5r = 10 Divide each side by '-5'. r = -2 Simplifying r = -2
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