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Simplifying -3(4r + -8) = -46 Reorder the terms: -3(-8 + 4r) = -46 (-8 * -3 + 4r * -3) = -46 (24 + -12r) = -46 Solving 24 + -12r = -46 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 + -12r = -46 + -24 Combine like terms: 24 + -24 = 0 0 + -12r = -46 + -24 -12r = -46 + -24 Combine like terms: -46 + -24 = -70 -12r = -70 Divide each side by '-12'. r = 5.833333333 Simplifying r = 5.833333333
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