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Simplifying -40 + -6r = 3 + -5(8r + -5) Reorder the terms: -40 + -6r = 3 + -5(-5 + 8r) -40 + -6r = 3 + (-5 * -5 + 8r * -5) -40 + -6r = 3 + (25 + -40r) Combine like terms: 3 + 25 = 28 -40 + -6r = 28 + -40r Solving -40 + -6r = 28 + -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. -40 + -6r + 40r = 28 + -40r + 40r Combine like terms: -6r + 40r = 34r -40 + 34r = 28 + -40r + 40r Combine like terms: -40r + 40r = 0 -40 + 34r = 28 + 0 -40 + 34r = 28 Add '40' to each side of the equation. -40 + 40 + 34r = 28 + 40 Combine like terms: -40 + 40 = 0 0 + 34r = 28 + 40 34r = 28 + 40 Combine like terms: 28 + 40 = 68 34r = 68 Divide each side by '34'. r = 2 Simplifying r = 2
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