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Simplifying -2(0.5r + -5) = 1.25 + 0.25r Reorder the terms: -2(-5 + 0.5r) = 1.25 + 0.25r (-5 * -2 + 0.5r * -2) = 1.25 + 0.25r (10 + -1r) = 1.25 + 0.25r Solving 10 + -1r = 1.25 + 0.25r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-0.25r' to each side of the equation. 10 + -1r + -0.25r = 1.25 + 0.25r + -0.25r Combine like terms: -1r + -0.25r = -1.25r 10 + -1.25r = 1.25 + 0.25r + -0.25r Combine like terms: 0.25r + -0.25r = 0.00 10 + -1.25r = 1.25 + 0.00 10 + -1.25r = 1.25 Add '-10' to each side of the equation. 10 + -10 + -1.25r = 1.25 + -10 Combine like terms: 10 + -10 = 0 0 + -1.25r = 1.25 + -10 -1.25r = 1.25 + -10 Combine like terms: 1.25 + -10 = -8.75 -1.25r = -8.75 Divide each side by '-1.25'. r = 7 Simplifying r = 7
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