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Simplifying 25 + -7r = 8(-5r + -1) Reorder the terms: 25 + -7r = 8(-1 + -5r) 25 + -7r = (-1 * 8 + -5r * 8) 25 + -7r = (-8 + -40r) Solving 25 + -7r = -8 + -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. 25 + -7r + 40r = -8 + -40r + 40r Combine like terms: -7r + 40r = 33r 25 + 33r = -8 + -40r + 40r Combine like terms: -40r + 40r = 0 25 + 33r = -8 + 0 25 + 33r = -8 Add '-25' to each side of the equation. 25 + -25 + 33r = -8 + -25 Combine like terms: 25 + -25 = 0 0 + 33r = -8 + -25 33r = -8 + -25 Combine like terms: -8 + -25 = -33 33r = -33 Divide each side by '33'. r = -1 Simplifying r = -1
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