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Simplifying 3r + -2 = -5r + 14 Reorder the terms: -2 + 3r = -5r + 14 Reorder the terms: -2 + 3r = 14 + -5r Solving -2 + 3r = 14 + -5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5r' to each side of the equation. -2 + 3r + 5r = 14 + -5r + 5r Combine like terms: 3r + 5r = 8r -2 + 8r = 14 + -5r + 5r Combine like terms: -5r + 5r = 0 -2 + 8r = 14 + 0 -2 + 8r = 14 Add '2' to each side of the equation. -2 + 2 + 8r = 14 + 2 Combine like terms: -2 + 2 = 0 0 + 8r = 14 + 2 8r = 14 + 2 Combine like terms: 14 + 2 = 16 8r = 16 Divide each side by '8'. r = 2 Simplifying r = 2
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