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Simplifying -5(4r + 1) + 2r = -5 + 5r Reorder the terms: -5(1 + 4r) + 2r = -5 + 5r (1 * -5 + 4r * -5) + 2r = -5 + 5r (-5 + -20r) + 2r = -5 + 5r Combine like terms: -20r + 2r = -18r -5 + -18r = -5 + 5r Add '5' to each side of the equation. -5 + 5 + -18r = -5 + 5 + 5r Combine like terms: -5 + 5 = 0 0 + -18r = -5 + 5 + 5r -18r = -5 + 5 + 5r Combine like terms: -5 + 5 = 0 -18r = 0 + 5r -18r = 5r Solving -18r = 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. -18r + -5r = 5r + -5r Combine like terms: -18r + -5r = -23r -23r = 5r + -5r Combine like terms: 5r + -5r = 0 -23r = 0 Divide each side by '-23'. r = 0 Simplifying r = 0
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