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Simplifying -1(6r + 4) = 12 + 2r Reorder the terms: -1(4 + 6r) = 12 + 2r (4 * -1 + 6r * -1) = 12 + 2r (-4 + -6r) = 12 + 2r Solving -4 + -6r = 12 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. -4 + -6r + -2r = 12 + 2r + -2r Combine like terms: -6r + -2r = -8r -4 + -8r = 12 + 2r + -2r Combine like terms: 2r + -2r = 0 -4 + -8r = 12 + 0 -4 + -8r = 12 Add '4' to each side of the equation. -4 + 4 + -8r = 12 + 4 Combine like terms: -4 + 4 = 0 0 + -8r = 12 + 4 -8r = 12 + 4 Combine like terms: 12 + 4 = 16 -8r = 16 Divide each side by '-8'. r = -2 Simplifying r = -2
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