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Simplifying 0.25(4r + -1) = 2r + 0.125 Reorder the terms: 0.25(-1 + 4r) = 2r + 0.125 (-1 * 0.25 + 4r * 0.25) = 2r + 0.125 (-0.25 + 1r) = 2r + 0.125 Reorder the terms: -0.25 + 1r = 0.125 + 2r Solving -0.25 + 1r = 0.125 + 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. -0.25 + 1r + -2r = 0.125 + 2r + -2r Combine like terms: 1r + -2r = -1r -0.25 + -1r = 0.125 + 2r + -2r Combine like terms: 2r + -2r = 0 -0.25 + -1r = 0.125 + 0 -0.25 + -1r = 0.125 Add '0.25' to each side of the equation. -0.25 + 0.25 + -1r = 0.125 + 0.25 Combine like terms: -0.25 + 0.25 = 0.00 0.00 + -1r = 0.125 + 0.25 -1r = 0.125 + 0.25 Combine like terms: 0.125 + 0.25 = 0.375 -1r = 0.375 Divide each side by '-1'. r = -0.375 Simplifying r = -0.375
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