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Simplifying 2(0.5 + -1r) = 1.75r (0.5 * 2 + -1r * 2) = 1.75r (1 + -2r) = 1.75r Solving 1 + -2r = 1.75r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1.75r' to each side of the equation. 1 + -2r + -1.75r = 1.75r + -1.75r Combine like terms: -2r + -1.75r = -3.75r 1 + -3.75r = 1.75r + -1.75r Combine like terms: 1.75r + -1.75r = 0.00 1 + -3.75r = 0.00 Add '-1' to each side of the equation. 1 + -1 + -3.75r = 0.00 + -1 Combine like terms: 1 + -1 = 0 0 + -3.75r = 0.00 + -1 -3.75r = 0.00 + -1 Combine like terms: 0.00 + -1 = -1 -3.75r = -1 Divide each side by '-3.75'. r = 0.2666666667 Simplifying r = 0.2666666667
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