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Simplifying -3(4r + -2) = -2 + -4r Reorder the terms: -3(-2 + 4r) = -2 + -4r (-2 * -3 + 4r * -3) = -2 + -4r (6 + -12r) = -2 + -4r Solving 6 + -12r = -2 + -4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4r' to each side of the equation. 6 + -12r + 4r = -2 + -4r + 4r Combine like terms: -12r + 4r = -8r 6 + -8r = -2 + -4r + 4r Combine like terms: -4r + 4r = 0 6 + -8r = -2 + 0 6 + -8r = -2 Add '-6' to each side of the equation. 6 + -6 + -8r = -2 + -6 Combine like terms: 6 + -6 = 0 0 + -8r = -2 + -6 -8r = -2 + -6 Combine like terms: -2 + -6 = -8 -8r = -8 Divide each side by '-8'. r = 1 Simplifying r = 1
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