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Simplifying -5 = 0.25(4 + 40r) + -8r -5 = (4 * 0.25 + 40r * 0.25) + -8r -5 = (1 + 10r) + -8r Combine like terms: 10r + -8r = 2r -5 = 1 + 2r Solving -5 = 1 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. -5 + -2r = 1 + 2r + -2r Combine like terms: 2r + -2r = 0 -5 + -2r = 1 + 0 -5 + -2r = 1 Add '5' to each side of the equation. -5 + 5 + -2r = 1 + 5 Combine like terms: -5 + 5 = 0 0 + -2r = 1 + 5 -2r = 1 + 5 Combine like terms: 1 + 5 = 6 -2r = 6 Divide each side by '-2'. r = -3 Simplifying r = -3
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