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Simplifying 0.25(7 + 3r) = -12.5r (7 * 0.25 + 3r * 0.25) = -12.5r (1.75 + 0.75r) = -12.5r Solving 1.75 + 0.75r = -12.5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '12.5r' to each side of the equation. 1.75 + 0.75r + 12.5r = -12.5r + 12.5r Combine like terms: 0.75r + 12.5r = 13.25r 1.75 + 13.25r = -12.5r + 12.5r Combine like terms: -12.5r + 12.5r = 0.0 1.75 + 13.25r = 0.0 Add '-1.75' to each side of the equation. 1.75 + -1.75 + 13.25r = 0.0 + -1.75 Combine like terms: 1.75 + -1.75 = 0.00 0.00 + 13.25r = 0.0 + -1.75 13.25r = 0.0 + -1.75 Combine like terms: 0.0 + -1.75 = -1.75 13.25r = -1.75 Divide each side by '13.25'. r = -0.1320754717 Simplifying r = -0.1320754717
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