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Simplifying 4(5r + 5) = 10(4r + -4) Reorder the terms: 4(5 + 5r) = 10(4r + -4) (5 * 4 + 5r * 4) = 10(4r + -4) (20 + 20r) = 10(4r + -4) Reorder the terms: 20 + 20r = 10(-4 + 4r) 20 + 20r = (-4 * 10 + 4r * 10) 20 + 20r = (-40 + 40r) Solving 20 + 20r = -40 + 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 = -40 + 40r + -40r Combine like terms: 20r + -40r = -20r 20 + -20r = -40 + 40r + -40r Combine like terms: 40r + -40r = 0 20 + -20r = -40 + 0 20 + -20r = -40 Add '-20' to each side of the equation. 20 + -20 + -20r = -40 + -20 Combine like terms: 20 + -20 = 0 0 + -20r = -40 + -20 -20r = -40 + -20 Combine like terms: -40 + -20 = -60 -20r = -60 Divide each side by '-20'. r = 3 Simplifying r = 3
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