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Simplifying 2(r + 3) + 2 = (r + 6) * 3 Reorder the terms: 2(3 + r) + 2 = (r + 6) * 3 (3 * 2 + r * 2) + 2 = (r + 6) * 3 (6 + 2r) + 2 = (r + 6) * 3 Reorder the terms: 6 + 2 + 2r = (r + 6) * 3 Combine like terms: 6 + 2 = 8 8 + 2r = (r + 6) * 3 Reorder the terms: 8 + 2r = (6 + r) * 3 Reorder the terms for easier multiplication: 8 + 2r = 3(6 + r) 8 + 2r = (6 * 3 + r * 3) 8 + 2r = (18 + 3r) Solving 8 + 2r = 18 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 8 + 2r + -3r = 18 + 3r + -3r Combine like terms: 2r + -3r = -1r 8 + -1r = 18 + 3r + -3r Combine like terms: 3r + -3r = 0 8 + -1r = 18 + 0 8 + -1r = 18 Add '-8' to each side of the equation. 8 + -8 + -1r = 18 + -8 Combine like terms: 8 + -8 = 0 0 + -1r = 18 + -8 -1r = 18 + -8 Combine like terms: 18 + -8 = 10 -1r = 10 Divide each side by '-1'. r = -10 Simplifying r = -10
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