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Simplifying -5 = 0.25(4) + 0.25(20r) + -8r Multiply 0.25 * 4 -5 = 1 + 0.25(20r) + -8r Remove parenthesis around (20r) -5 = 1 + 0.25 * 20r + -8r Multiply 0.25 * 20 -5 = 1 + 5r + -8r Combine like terms: 5r + -8r = -3r -5 = 1 + -3r Solving -5 = 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. -5 + 3r = 1 + -3r + 3r Combine like terms: -3r + 3r = 0 -5 + 3r = 1 + 0 -5 + 3r = 1 Add '5' to each side of the equation. -5 + 5 + 3r = 1 + 5 Combine like terms: -5 + 5 = 0 0 + 3r = 1 + 5 3r = 1 + 5 Combine like terms: 1 + 5 = 6 3r = 6 Divide each side by '3'. r = 2 Simplifying r = 2
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