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Simplifying (4r + 4) * 5 = 8(5r + -10) Reorder the terms: (4 + 4r) * 5 = 8(5r + -10) Reorder the terms for easier multiplication: 5(4 + 4r) = 8(5r + -10) (4 * 5 + 4r * 5) = 8(5r + -10) (20 + 20r) = 8(5r + -10) Reorder the terms: 20 + 20r = 8(-10 + 5r) 20 + 20r = (-10 * 8 + 5r * 8) 20 + 20r = (-80 + 40r) Solving 20 + 20r = -80 + 40r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-40r' to each side of the equation. 20 + 20r + -40r = -80 + 40r + -40r Combine like terms: 20r + -40r = -20r 20 + -20r = -80 + 40r + -40r Combine like terms: 40r + -40r = 0 20 + -20r = -80 + 0 20 + -20r = -80 Add '-20' to each side of the equation. 20 + -20 + -20r = -80 + -20 Combine like terms: 20 + -20 = 0 0 + -20r = -80 + -20 -20r = -80 + -20 Combine like terms: -80 + -20 = -100 -20r = -100 Divide each side by '-20'. r = 5 Simplifying r = 5
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