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Simplifying -4(r + 5) = 4(2 + -4r) Reorder the terms: -4(5 + r) = 4(2 + -4r) (5 * -4 + r * -4) = 4(2 + -4r) (-20 + -4r) = 4(2 + -4r) -20 + -4r = (2 * 4 + -4r * 4) -20 + -4r = (8 + -16r) Solving -20 + -4r = 8 + -16r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '16r' to each side of the equation. -20 + -4r + 16r = 8 + -16r + 16r Combine like terms: -4r + 16r = 12r -20 + 12r = 8 + -16r + 16r Combine like terms: -16r + 16r = 0 -20 + 12r = 8 + 0 -20 + 12r = 8 Add '20' to each side of the equation. -20 + 20 + 12r = 8 + 20 Combine like terms: -20 + 20 = 0 0 + 12r = 8 + 20 12r = 8 + 20 Combine like terms: 8 + 20 = 28 12r = 28 Divide each side by '12'. r = 2.333333333 Simplifying r = 2.333333333
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