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Simplifying 0.25(7 + 3r) = -0.125r (7 * 0.25 + 3r * 0.25) = -0.125r (1.75 + 0.75r) = -0.125r Solving 1.75 + 0.75r = -0.125r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '0.125r' to each side of the equation. 1.75 + 0.75r + 0.125r = -0.125r + 0.125r Combine like terms: 0.75r + 0.125r = 0.875r 1.75 + 0.875r = -0.125r + 0.125r Combine like terms: -0.125r + 0.125r = 0.000 1.75 + 0.875r = 0.000 Add '-1.75' to each side of the equation. 1.75 + -1.75 + 0.875r = 0.000 + -1.75 Combine like terms: 1.75 + -1.75 = 0.00 0.00 + 0.875r = 0.000 + -1.75 0.875r = 0.000 + -1.75 Combine like terms: 0.000 + -1.75 = -1.75 0.875r = -1.75 Divide each side by '0.875'. r = -2 Simplifying r = -2
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