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Simplifying -5r + 6(-4 + -4r) = 121 -5r + (-4 * 6 + -4r * 6) = 121 -5r + (-24 + -24r) = 121 Reorder the terms: -24 + -5r + -24r = 121 Combine like terms: -5r + -24r = -29r -24 + -29r = 121 Solving -24 + -29r = 121 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -29r = 121 + 24 Combine like terms: -24 + 24 = 0 0 + -29r = 121 + 24 -29r = 121 + 24 Combine like terms: 121 + 24 = 145 -29r = 145 Divide each side by '-29'. r = -5 Simplifying r = -5
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