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Simplifying 2(4r + 6) = 0.75(12r + 18) Reorder the terms: 2(6 + 4r) = 0.75(12r + 18) (6 * 2 + 4r * 2) = 0.75(12r + 18) (12 + 8r) = 0.75(12r + 18) Reorder the terms: 12 + 8r = 0.75(18 + 12r) 12 + 8r = (18 * 0.75 + 12r * 0.75) 12 + 8r = (13.5 + 9r) Solving 12 + 8r = 13.5 + 9r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9r' to each side of the equation. 12 + 8r + -9r = 13.5 + 9r + -9r Combine like terms: 8r + -9r = -1r 12 + -1r = 13.5 + 9r + -9r Combine like terms: 9r + -9r = 0 12 + -1r = 13.5 + 0 12 + -1r = 13.5 Add '-12' to each side of the equation. 12 + -12 + -1r = 13.5 + -12 Combine like terms: 12 + -12 = 0 0 + -1r = 13.5 + -12 -1r = 13.5 + -12 Combine like terms: 13.5 + -12 = 1.5 -1r = 1.5 Divide each side by '-1'. r = -1.5 Simplifying r = -1.5
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