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Simplifying 9(r + 7) = 12r Reorder the terms: 9(7 + r) = 12r (7 * 9 + r * 9) = 12r (63 + 9r) = 12r Solving 63 + 9r = 12r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12r' to each side of the equation. 63 + 9r + -12r = 12r + -12r Combine like terms: 9r + -12r = -3r 63 + -3r = 12r + -12r Combine like terms: 12r + -12r = 0 63 + -3r = 0 Add '-63' to each side of the equation. 63 + -63 + -3r = 0 + -63 Combine like terms: 63 + -63 = 0 0 + -3r = 0 + -63 -3r = 0 + -63 Combine like terms: 0 + -63 = -63 -3r = -63 Divide each side by '-3'. r = 21 Simplifying r = 21
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