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Simplifying 2(4r + 6) = 0.6(12r + 14) Reorder the terms: 2(6 + 4r) = 0.6(12r + 14) (6 * 2 + 4r * 2) = 0.6(12r + 14) (12 + 8r) = 0.6(12r + 14) Reorder the terms: 12 + 8r = 0.6(14 + 12r) 12 + 8r = (14 * 0.6 + 12r * 0.6) 12 + 8r = (8.4 + 7.2r) Solving 12 + 8r = 8.4 + 7.2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7.2r' to each side of the equation. 12 + 8r + -7.2r = 8.4 + 7.2r + -7.2r Combine like terms: 8r + -7.2r = 0.8r 12 + 0.8r = 8.4 + 7.2r + -7.2r Combine like terms: 7.2r + -7.2r = 0.0 12 + 0.8r = 8.4 + 0.0 12 + 0.8r = 8.4 Add '-12' to each side of the equation. 12 + -12 + 0.8r = 8.4 + -12 Combine like terms: 12 + -12 = 0 0 + 0.8r = 8.4 + -12 0.8r = 8.4 + -12 Combine like terms: 8.4 + -12 = -3.6 0.8r = -3.6 Divide each side by '0.8'. r = -4.5 Simplifying r = -4.5
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