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Simplifying 2(4r + 6) = 12r + 18 Reorder the terms: 2(6 + 4r) = 12r + 18 (6 * 2 + 4r * 2) = 12r + 18 (12 + 8r) = 12r + 18 Reorder the terms: 12 + 8r = 18 + 12r Solving 12 + 8r = 18 + 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. 12 + 8r + -12r = 18 + 12r + -12r Combine like terms: 8r + -12r = -4r 12 + -4r = 18 + 12r + -12r Combine like terms: 12r + -12r = 0 12 + -4r = 18 + 0 12 + -4r = 18 Add '-12' to each side of the equation. 12 + -12 + -4r = 18 + -12 Combine like terms: 12 + -12 = 0 0 + -4r = 18 + -12 -4r = 18 + -12 Combine like terms: 18 + -12 = 6 -4r = 6 Divide each side by '-4'. r = -1.5 Simplifying r = -1.5
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