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Simplifying 1.6r + 7 = 1.2r + 19 Reorder the terms: 7 + 1.6r = 1.2r + 19 Reorder the terms: 7 + 1.6r = 19 + 1.2r Solving 7 + 1.6r = 19 + 1.2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1.2r' to each side of the equation. 7 + 1.6r + -1.2r = 19 + 1.2r + -1.2r Combine like terms: 1.6r + -1.2r = 0.4r 7 + 0.4r = 19 + 1.2r + -1.2r Combine like terms: 1.2r + -1.2r = 0.0 7 + 0.4r = 19 + 0.0 7 + 0.4r = 19 Add '-7' to each side of the equation. 7 + -7 + 0.4r = 19 + -7 Combine like terms: 7 + -7 = 0 0 + 0.4r = 19 + -7 0.4r = 19 + -7 Combine like terms: 19 + -7 = 12 0.4r = 12 Divide each side by '0.4'. r = 30 Simplifying r = 30
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