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Simplifying -137 = -5(1 + 8r) + 7r -137 = (1 * -5 + 8r * -5) + 7r -137 = (-5 + -40r) + 7r Combine like terms: -40r + 7r = -33r -137 = -5 + -33r Solving -137 = -5 + -33r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '33r' to each side of the equation. -137 + 33r = -5 + -33r + 33r Combine like terms: -33r + 33r = 0 -137 + 33r = -5 + 0 -137 + 33r = -5 Add '137' to each side of the equation. -137 + 137 + 33r = -5 + 137 Combine like terms: -137 + 137 = 0 0 + 33r = -5 + 137 33r = -5 + 137 Combine like terms: -5 + 137 = 132 33r = 132 Divide each side by '33'. r = 4 Simplifying r = 4
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