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Simplifying 4(4r + -5) = 4(5 + 5r) Reorder the terms: 4(-5 + 4r) = 4(5 + 5r) (-5 * 4 + 4r * 4) = 4(5 + 5r) (-20 + 16r) = 4(5 + 5r) -20 + 16r = (5 * 4 + 5r * 4) -20 + 16r = (20 + 20r) Solving -20 + 16r = 20 + 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 + 16r + -20r = 20 + 20r + -20r Combine like terms: 16r + -20r = -4r -20 + -4r = 20 + 20r + -20r Combine like terms: 20r + -20r = 0 -20 + -4r = 20 + 0 -20 + -4r = 20 Add '20' to each side of the equation. -20 + 20 + -4r = 20 + 20 Combine like terms: -20 + 20 = 0 0 + -4r = 20 + 20 -4r = 20 + 20 Combine like terms: 20 + 20 = 40 -4r = 40 Divide each side by '-4'. r = -10 Simplifying r = -10
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