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Simplifying 9r + -14 = 42 + 2r Reorder the terms: -14 + 9r = 42 + 2r Solving -14 + 9r = 42 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. -14 + 9r + -2r = 42 + 2r + -2r Combine like terms: 9r + -2r = 7r -14 + 7r = 42 + 2r + -2r Combine like terms: 2r + -2r = 0 -14 + 7r = 42 + 0 -14 + 7r = 42 Add '14' to each side of the equation. -14 + 14 + 7r = 42 + 14 Combine like terms: -14 + 14 = 0 0 + 7r = 42 + 14 7r = 42 + 14 Combine like terms: 42 + 14 = 56 7r = 56 Divide each side by '7'. r = 8 Simplifying r = 8
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