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Simplifying -5(8r + 3) = -5(7r + -5) Reorder the terms: -5(3 + 8r) = -5(7r + -5) (3 * -5 + 8r * -5) = -5(7r + -5) (-15 + -40r) = -5(7r + -5) Reorder the terms: -15 + -40r = -5(-5 + 7r) -15 + -40r = (-5 * -5 + 7r * -5) -15 + -40r = (25 + -35r) Solving -15 + -40r = 25 + -35r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '35r' to each side of the equation. -15 + -40r + 35r = 25 + -35r + 35r Combine like terms: -40r + 35r = -5r -15 + -5r = 25 + -35r + 35r Combine like terms: -35r + 35r = 0 -15 + -5r = 25 + 0 -15 + -5r = 25 Add '15' to each side of the equation. -15 + 15 + -5r = 25 + 15 Combine like terms: -15 + 15 = 0 0 + -5r = 25 + 15 -5r = 25 + 15 Combine like terms: 25 + 15 = 40 -5r = 40 Divide each side by '-5'. r = -8 Simplifying r = -8
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