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Simplifying 2(4r + 6) = 0.7(12r + 18) Reorder the terms: 2(6 + 4r) = 0.7(12r + 18) (6 * 2 + 4r * 2) = 0.7(12r + 18) (12 + 8r) = 0.7(12r + 18) Reorder the terms: 12 + 8r = 0.7(18 + 12r) 12 + 8r = (18 * 0.7 + 12r * 0.7) 12 + 8r = (12.6 + 8.4r) Solving 12 + 8r = 12.6 + 8.4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8.4r' to each side of the equation. 12 + 8r + -8.4r = 12.6 + 8.4r + -8.4r Combine like terms: 8r + -8.4r = -0.4r 12 + -0.4r = 12.6 + 8.4r + -8.4r Combine like terms: 8.4r + -8.4r = 0.0 12 + -0.4r = 12.6 + 0.0 12 + -0.4r = 12.6 Add '-12' to each side of the equation. 12 + -12 + -0.4r = 12.6 + -12 Combine like terms: 12 + -12 = 0 0 + -0.4r = 12.6 + -12 -0.4r = 12.6 + -12 Combine like terms: 12.6 + -12 = 0.6 -0.4r = 0.6 Divide each side by '-0.4'. r = -1.5 Simplifying r = -1.5
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