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Simplifying (4r + 4) * 5 = 8(4r + -8) Reorder the terms: (4 + 4r) * 5 = 8(4r + -8) Reorder the terms for easier multiplication: 5(4 + 4r) = 8(4r + -8) (4 * 5 + 4r * 5) = 8(4r + -8) (20 + 20r) = 8(4r + -8) Reorder the terms: 20 + 20r = 8(-8 + 4r) 20 + 20r = (-8 * 8 + 4r * 8) 20 + 20r = (-64 + 32r) Solving 20 + 20r = -64 + 32r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-32r' to each side of the equation. 20 + 20r + -32r = -64 + 32r + -32r Combine like terms: 20r + -32r = -12r 20 + -12r = -64 + 32r + -32r Combine like terms: 32r + -32r = 0 20 + -12r = -64 + 0 20 + -12r = -64 Add '-20' to each side of the equation. 20 + -20 + -12r = -64 + -20 Combine like terms: 20 + -20 = 0 0 + -12r = -64 + -20 -12r = -64 + -20 Combine like terms: -64 + -20 = -84 -12r = -84 Divide each side by '-12'. r = 7 Simplifying r = 7
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