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Simplifying -4r + 3(2r + -5) = 31 Reorder the terms: -4r + 3(-5 + 2r) = 31 -4r + (-5 * 3 + 2r * 3) = 31 -4r + (-15 + 6r) = 31 Reorder the terms: -15 + -4r + 6r = 31 Combine like terms: -4r + 6r = 2r -15 + 2r = 31 Solving -15 + 2r = 31 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 2r = 31 + 15 Combine like terms: -15 + 15 = 0 0 + 2r = 31 + 15 2r = 31 + 15 Combine like terms: 31 + 15 = 46 2r = 46 Divide each side by '2'. r = 23 Simplifying r = 23
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