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Simplifying 13.8 + 9.4r = 3.7(2r + 4) Reorder the terms: 13.8 + 9.4r = 3.7(4 + 2r) 13.8 + 9.4r = (4 * 3.7 + 2r * 3.7) 13.8 + 9.4r = (14.8 + 7.4r) Solving 13.8 + 9.4r = 14.8 + 7.4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7.4r' to each side of the equation. 13.8 + 9.4r + -7.4r = 14.8 + 7.4r + -7.4r Combine like terms: 9.4r + -7.4r = 2r 13.8 + 2r = 14.8 + 7.4r + -7.4r Combine like terms: 7.4r + -7.4r = 0.0 13.8 + 2r = 14.8 + 0.0 13.8 + 2r = 14.8 Add '-13.8' to each side of the equation. 13.8 + -13.8 + 2r = 14.8 + -13.8 Combine like terms: 13.8 + -13.8 = 0.0 0.0 + 2r = 14.8 + -13.8 2r = 14.8 + -13.8 Combine like terms: 14.8 + -13.8 = 1 2r = 1 Divide each side by '2'. r = 0.5 Simplifying r = 0.5
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