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Simplifying 2(r + 6) = 3r + -3 Reorder the terms: 2(6 + r) = 3r + -3 (6 * 2 + r * 2) = 3r + -3 (12 + 2r) = 3r + -3 Reorder the terms: 12 + 2r = -3 + 3r Solving 12 + 2r = -3 + 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. 12 + 2r + -3r = -3 + 3r + -3r Combine like terms: 2r + -3r = -1r 12 + -1r = -3 + 3r + -3r Combine like terms: 3r + -3r = 0 12 + -1r = -3 + 0 12 + -1r = -3 Add '-12' to each side of the equation. 12 + -12 + -1r = -3 + -12 Combine like terms: 12 + -12 = 0 0 + -1r = -3 + -12 -1r = -3 + -12 Combine like terms: -3 + -12 = -15 -1r = -15 Divide each side by '-1'. r = 15 Simplifying r = 15
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