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Simplifying 2(4r + 6) = 2.3(12r + 18) Reorder the terms: 2(6 + 4r) = 2.3(12r + 18) (6 * 2 + 4r * 2) = 2.3(12r + 18) (12 + 8r) = 2.3(12r + 18) Reorder the terms: 12 + 8r = 2.3(18 + 12r) 12 + 8r = (18 * 2.3 + 12r * 2.3) 12 + 8r = (41.4 + 27.6r) Solving 12 + 8r = 41.4 + 27.6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-27.6r' to each side of the equation. 12 + 8r + -27.6r = 41.4 + 27.6r + -27.6r Combine like terms: 8r + -27.6r = -19.6r 12 + -19.6r = 41.4 + 27.6r + -27.6r Combine like terms: 27.6r + -27.6r = 0.0 12 + -19.6r = 41.4 + 0.0 12 + -19.6r = 41.4 Add '-12' to each side of the equation. 12 + -12 + -19.6r = 41.4 + -12 Combine like terms: 12 + -12 = 0 0 + -19.6r = 41.4 + -12 -19.6r = 41.4 + -12 Combine like terms: 41.4 + -12 = 29.4 -19.6r = 29.4 Divide each side by '-19.6'. r = -1.5 Simplifying r = -1.5
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