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Simplifying (4r + 16) * 5 = 8(5r + -10) Reorder the terms: (16 + 4r) * 5 = 8(5r + -10) Reorder the terms for easier multiplication: 5(16 + 4r) = 8(5r + -10) (16 * 5 + 4r * 5) = 8(5r + -10) (80 + 20r) = 8(5r + -10) Reorder the terms: 80 + 20r = 8(-10 + 5r) 80 + 20r = (-10 * 8 + 5r * 8) 80 + 20r = (-80 + 40r) Solving 80 + 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. 80 + 20r + -40r = -80 + 40r + -40r Combine like terms: 20r + -40r = -20r 80 + -20r = -80 + 40r + -40r Combine like terms: 40r + -40r = 0 80 + -20r = -80 + 0 80 + -20r = -80 Add '-80' to each side of the equation. 80 + -80 + -20r = -80 + -80 Combine like terms: 80 + -80 = 0 0 + -20r = -80 + -80 -20r = -80 + -80 Combine like terms: -80 + -80 = -160 -20r = -160 Divide each side by '-20'. r = 8 Simplifying r = 8
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