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Simplifying -122 = -4(3r + 5) + -5r Reorder the terms: -122 = -4(5 + 3r) + -5r -122 = (5 * -4 + 3r * -4) + -5r -122 = (-20 + -12r) + -5r Combine like terms: -12r + -5r = -17r -122 = -20 + -17r Solving -122 = -20 + -17r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '17r' to each side of the equation. -122 + 17r = -20 + -17r + 17r Combine like terms: -17r + 17r = 0 -122 + 17r = -20 + 0 -122 + 17r = -20 Add '122' to each side of the equation. -122 + 122 + 17r = -20 + 122 Combine like terms: -122 + 122 = 0 0 + 17r = -20 + 122 17r = -20 + 122 Combine like terms: -20 + 122 = 102 17r = 102 Divide each side by '17'. r = 6 Simplifying r = 6
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