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Simplifying 2(4r + 6) = 0.66(12r + 18) Reorder the terms: 2(6 + 4r) = 0.66(12r + 18) (6 * 2 + 4r * 2) = 0.66(12r + 18) (12 + 8r) = 0.66(12r + 18) Reorder the terms: 12 + 8r = 0.66(18 + 12r) 12 + 8r = (18 * 0.66 + 12r * 0.66) 12 + 8r = (11.88 + 7.92r) Solving 12 + 8r = 11.88 + 7.92r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7.92r' to each side of the equation. 12 + 8r + -7.92r = 11.88 + 7.92r + -7.92r Combine like terms: 8r + -7.92r = 0.08r 12 + 0.08r = 11.88 + 7.92r + -7.92r Combine like terms: 7.92r + -7.92r = 0.00 12 + 0.08r = 11.88 + 0.00 12 + 0.08r = 11.88 Add '-12' to each side of the equation. 12 + -12 + 0.08r = 11.88 + -12 Combine like terms: 12 + -12 = 0 0 + 0.08r = 11.88 + -12 0.08r = 11.88 + -12 Combine like terms: 11.88 + -12 = -0.12 0.08r = -0.12 Divide each side by '0.08'. r = -1.5 Simplifying r = -1.5
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