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Simplifying -0.8r + -1(-4 + -2r) = 5 + 0.2r -0.8r + (-4 * -1 + -2r * -1) = 5 + 0.2r -0.8r + (4 + 2r) = 5 + 0.2r Reorder the terms: 4 + -0.8r + 2r = 5 + 0.2r Combine like terms: -0.8r + 2r = 1.2r 4 + 1.2r = 5 + 0.2r Solving 4 + 1.2r = 5 + 0.2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-0.2r' to each side of the equation. 4 + 1.2r + -0.2r = 5 + 0.2r + -0.2r Combine like terms: 1.2r + -0.2r = 1r 4 + 1r = 5 + 0.2r + -0.2r Combine like terms: 0.2r + -0.2r = 0.0 4 + 1r = 5 + 0.0 4 + 1r = 5 Add '-4' to each side of the equation. 4 + -4 + 1r = 5 + -4 Combine like terms: 4 + -4 = 0 0 + 1r = 5 + -4 1r = 5 + -4 Combine like terms: 5 + -4 = 1 1r = 1 Divide each side by '1'. r = 1 Simplifying r = 1
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