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Simplifying 3r + 14 = 8r + -1 Reorder the terms: 14 + 3r = 8r + -1 Reorder the terms: 14 + 3r = -1 + 8r Solving 14 + 3r = -1 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. 14 + 3r + -8r = -1 + 8r + -8r Combine like terms: 3r + -8r = -5r 14 + -5r = -1 + 8r + -8r Combine like terms: 8r + -8r = 0 14 + -5r = -1 + 0 14 + -5r = -1 Add '-14' to each side of the equation. 14 + -14 + -5r = -1 + -14 Combine like terms: 14 + -14 = 0 0 + -5r = -1 + -14 -5r = -1 + -14 Combine like terms: -1 + -14 = -15 -5r = -15 Divide each side by '-5'. r = 3 Simplifying r = 3
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