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Simplifying -6(2r + 6) = 36 + -3r Reorder the terms: -6(6 + 2r) = 36 + -3r (6 * -6 + 2r * -6) = 36 + -3r (-36 + -12r) = 36 + -3r Solving -36 + -12r = 36 + -3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3r' to each side of the equation. -36 + -12r + 3r = 36 + -3r + 3r Combine like terms: -12r + 3r = -9r -36 + -9r = 36 + -3r + 3r Combine like terms: -3r + 3r = 0 -36 + -9r = 36 + 0 -36 + -9r = 36 Add '36' to each side of the equation. -36 + 36 + -9r = 36 + 36 Combine like terms: -36 + 36 = 0 0 + -9r = 36 + 36 -9r = 36 + 36 Combine like terms: 36 + 36 = 72 -9r = 72 Divide each side by '-9'. r = -8 Simplifying r = -8
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