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Simplifying -5 = 0.25(4t + 20r) + -8r Reorder the terms: -5 = 0.25(20r + 4t) + -8r -5 = (20r * 0.25 + 4t * 0.25) + -8r -5 = (5r + 1t) + -8r Reorder the terms: -5 = 5r + -8r + 1t Combine like terms: 5r + -8r = -3r -5 = -3r + 1t Solving -5 = -3r + 1t 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 = -3r + 3r + 1t Combine like terms: -3r + 3r = 0 -5 + 3r = 0 + 1t -5 + 3r = 1t Add '5' to each side of the equation. -5 + 5 + 3r = 5 + 1t Combine like terms: -5 + 5 = 0 0 + 3r = 5 + 1t 3r = 5 + 1t Divide each side by '3'. r = 1.666666667 + 0.3333333333t Simplifying r = 1.666666667 + 0.3333333333t
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