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Simplifying 123 = 5(7 + -8r) + -4r 123 = (7 * 5 + -8r * 5) + -4r 123 = (35 + -40r) + -4r Combine like terms: -40r + -4r = -44r 123 = 35 + -44r Solving 123 = 35 + -44r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '44r' to each side of the equation. 123 + 44r = 35 + -44r + 44r Combine like terms: -44r + 44r = 0 123 + 44r = 35 + 0 123 + 44r = 35 Add '-123' to each side of the equation. 123 + -123 + 44r = 35 + -123 Combine like terms: 123 + -123 = 0 0 + 44r = 35 + -123 44r = 35 + -123 Combine like terms: 35 + -123 = -88 44r = -88 Divide each side by '44'. r = -2 Simplifying r = -2
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