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Simplifying 7(3r + 9) = 12(2r + -1) Reorder the terms: 7(9 + 3r) = 12(2r + -1) (9 * 7 + 3r * 7) = 12(2r + -1) (63 + 21r) = 12(2r + -1) Reorder the terms: 63 + 21r = 12(-1 + 2r) 63 + 21r = (-1 * 12 + 2r * 12) 63 + 21r = (-12 + 24r) Solving 63 + 21r = -12 + 24r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-24r' to each side of the equation. 63 + 21r + -24r = -12 + 24r + -24r Combine like terms: 21r + -24r = -3r 63 + -3r = -12 + 24r + -24r Combine like terms: 24r + -24r = 0 63 + -3r = -12 + 0 63 + -3r = -12 Add '-63' to each side of the equation. 63 + -63 + -3r = -12 + -63 Combine like terms: 63 + -63 = 0 0 + -3r = -12 + -63 -3r = -12 + -63 Combine like terms: -12 + -63 = -75 -3r = -75 Divide each side by '-3'. r = 25 Simplifying r = 25
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