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Simplifying -4(1 + -3r) = 8r + 8 (1 * -4 + -3r * -4) = 8r + 8 (-4 + 12r) = 8r + 8 Reorder the terms: -4 + 12r = 8 + 8r Solving -4 + 12r = 8 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. -4 + 12r + -8r = 8 + 8r + -8r Combine like terms: 12r + -8r = 4r -4 + 4r = 8 + 8r + -8r Combine like terms: 8r + -8r = 0 -4 + 4r = 8 + 0 -4 + 4r = 8 Add '4' to each side of the equation. -4 + 4 + 4r = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 4r = 8 + 4 4r = 8 + 4 Combine like terms: 8 + 4 = 12 4r = 12 Divide each side by '4'. r = 3 Simplifying r = 3
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