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Simplifying -12 = 0.25(4 + 20r) + -8r -12 = (4 * 0.25 + 20r * 0.25) + -8r -12 = (1 + 5r) + -8r Combine like terms: 5r + -8r = -3r -12 = 1 + -3r Solving -12 = 1 + -3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3r' to each side of the equation. -12 + 3r = 1 + -3r + 3r Combine like terms: -3r + 3r = 0 -12 + 3r = 1 + 0 -12 + 3r = 1 Add '12' to each side of the equation. -12 + 12 + 3r = 1 + 12 Combine like terms: -12 + 12 = 0 0 + 3r = 1 + 12 3r = 1 + 12 Combine like terms: 1 + 12 = 13 3r = 13 Divide each side by '3'. r = 4.333333333 Simplifying r = 4.333333333
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