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Simplifying -20 + -5r = 5(4r + 1) Reorder the terms: -20 + -5r = 5(1 + 4r) -20 + -5r = (1 * 5 + 4r * 5) -20 + -5r = (5 + 20r) Solving -20 + -5r = 5 + 20r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-20r' to each side of the equation. -20 + -5r + -20r = 5 + 20r + -20r Combine like terms: -5r + -20r = -25r -20 + -25r = 5 + 20r + -20r Combine like terms: 20r + -20r = 0 -20 + -25r = 5 + 0 -20 + -25r = 5 Add '20' to each side of the equation. -20 + 20 + -25r = 5 + 20 Combine like terms: -20 + 20 = 0 0 + -25r = 5 + 20 -25r = 5 + 20 Combine like terms: 5 + 20 = 25 -25r = 25 Divide each side by '-25'. r = -1 Simplifying r = -1
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