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Simplifying 9(r + -1) + 2r + 16 = 62 Reorder the terms: 9(-1 + r) + 2r + 16 = 62 (-1 * 9 + r * 9) + 2r + 16 = 62 (-9 + 9r) + 2r + 16 = 62 Reorder the terms: -9 + 16 + 9r + 2r = 62 Combine like terms: -9 + 16 = 7 7 + 9r + 2r = 62 Combine like terms: 9r + 2r = 11r 7 + 11r = 62 Solving 7 + 11r = 62 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 11r = 62 + -7 Combine like terms: 7 + -7 = 0 0 + 11r = 62 + -7 11r = 62 + -7 Combine like terms: 62 + -7 = 55 11r = 55 Divide each side by '11'. r = 5 Simplifying r = 5
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