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Simplifying -3(4r + 5) + -2r = 83 Reorder the terms: -3(5 + 4r) + -2r = 83 (5 * -3 + 4r * -3) + -2r = 83 (-15 + -12r) + -2r = 83 Combine like terms: -12r + -2r = -14r -15 + -14r = 83 Solving -15 + -14r = 83 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 + -14r = 83 + 15 Combine like terms: -15 + 15 = 0 0 + -14r = 83 + 15 -14r = 83 + 15 Combine like terms: 83 + 15 = 98 -14r = 98 Divide each side by '-14'. r = -7 Simplifying r = -7
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