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Simplifying -4(1 + -8r) = 4(5r + 8) (1 * -4 + -8r * -4) = 4(5r + 8) (-4 + 32r) = 4(5r + 8) Reorder the terms: -4 + 32r = 4(8 + 5r) -4 + 32r = (8 * 4 + 5r * 4) -4 + 32r = (32 + 20r) Solving -4 + 32r = 32 + 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. -4 + 32r + -20r = 32 + 20r + -20r Combine like terms: 32r + -20r = 12r -4 + 12r = 32 + 20r + -20r Combine like terms: 20r + -20r = 0 -4 + 12r = 32 + 0 -4 + 12r = 32 Add '4' to each side of the equation. -4 + 4 + 12r = 32 + 4 Combine like terms: -4 + 4 = 0 0 + 12r = 32 + 4 12r = 32 + 4 Combine like terms: 32 + 4 = 36 12r = 36 Divide each side by '12'. r = 3 Simplifying r = 3
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