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Simplifying 3(r + 6) + 2 = 4(r + 2) + 21 Reorder the terms: 3(6 + r) + 2 = 4(r + 2) + 21 (6 * 3 + r * 3) + 2 = 4(r + 2) + 21 (18 + 3r) + 2 = 4(r + 2) + 21 Reorder the terms: 18 + 2 + 3r = 4(r + 2) + 21 Combine like terms: 18 + 2 = 20 20 + 3r = 4(r + 2) + 21 Reorder the terms: 20 + 3r = 4(2 + r) + 21 20 + 3r = (2 * 4 + r * 4) + 21 20 + 3r = (8 + 4r) + 21 Reorder the terms: 20 + 3r = 8 + 21 + 4r Combine like terms: 8 + 21 = 29 20 + 3r = 29 + 4r Solving 20 + 3r = 29 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. 20 + 3r + -4r = 29 + 4r + -4r Combine like terms: 3r + -4r = -1r 20 + -1r = 29 + 4r + -4r Combine like terms: 4r + -4r = 0 20 + -1r = 29 + 0 20 + -1r = 29 Add '-20' to each side of the equation. 20 + -20 + -1r = 29 + -20 Combine like terms: 20 + -20 = 0 0 + -1r = 29 + -20 -1r = 29 + -20 Combine like terms: 29 + -20 = 9 -1r = 9 Divide each side by '-1'. r = -9 Simplifying r = -9
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