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Simplifying -5 = 0.255(4 + 20r) + -8r -5 = (4 * 0.255 + 20r * 0.255) + -8r -5 = (1.02 + 5.1r) + -8r Combine like terms: 5.1r + -8r = -2.9r -5 = 1.02 + -2.9r Solving -5 = 1.02 + -2.9r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '2.9r' to each side of the equation. -5 + 2.9r = 1.02 + -2.9r + 2.9r Combine like terms: -2.9r + 2.9r = 0.0 -5 + 2.9r = 1.02 + 0.0 -5 + 2.9r = 1.02 Add '5' to each side of the equation. -5 + 5 + 2.9r = 1.02 + 5 Combine like terms: -5 + 5 = 0 0 + 2.9r = 1.02 + 5 2.9r = 1.02 + 5 Combine like terms: 1.02 + 5 = 6.02 2.9r = 6.02 Divide each side by '2.9'. r = 2.075862069 Simplifying r = 2.075862069
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