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Simplifying -4(4r + -2) = -12 + -6r Reorder the terms: -4(-2 + 4r) = -12 + -6r (-2 * -4 + 4r * -4) = -12 + -6r (8 + -16r) = -12 + -6r Solving 8 + -16r = -12 + -6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6r' to each side of the equation. 8 + -16r + 6r = -12 + -6r + 6r Combine like terms: -16r + 6r = -10r 8 + -10r = -12 + -6r + 6r Combine like terms: -6r + 6r = 0 8 + -10r = -12 + 0 8 + -10r = -12 Add '-8' to each side of the equation. 8 + -8 + -10r = -12 + -8 Combine like terms: 8 + -8 = 0 0 + -10r = -12 + -8 -10r = -12 + -8 Combine like terms: -12 + -8 = -20 -10r = -20 Divide each side by '-10'. r = 2 Simplifying r = 2
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