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Simplifying -7(5r + -8) + -5r = 256 Reorder the terms: -7(-8 + 5r) + -5r = 256 (-8 * -7 + 5r * -7) + -5r = 256 (56 + -35r) + -5r = 256 Combine like terms: -35r + -5r = -40r 56 + -40r = 256 Solving 56 + -40r = 256 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + -40r = 256 + -56 Combine like terms: 56 + -56 = 0 0 + -40r = 256 + -56 -40r = 256 + -56 Combine like terms: 256 + -56 = 200 -40r = 200 Divide each side by '-40'. r = -5 Simplifying r = -5
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