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Simplifying 7r + 8 = 9r + 14 Reorder the terms: 8 + 7r = 9r + 14 Reorder the terms: 8 + 7r = 14 + 9r Solving 8 + 7r = 14 + 9r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9r' to each side of the equation. 8 + 7r + -9r = 14 + 9r + -9r Combine like terms: 7r + -9r = -2r 8 + -2r = 14 + 9r + -9r Combine like terms: 9r + -9r = 0 8 + -2r = 14 + 0 8 + -2r = 14 Add '-8' to each side of the equation. 8 + -8 + -2r = 14 + -8 Combine like terms: 8 + -8 = 0 0 + -2r = 14 + -8 -2r = 14 + -8 Combine like terms: 14 + -8 = 6 -2r = 6 Divide each side by '-2'. r = -3 Simplifying r = -3
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