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Simplifying -3(3r + 6) = -11 + -8r Reorder the terms: -3(6 + 3r) = -11 + -8r (6 * -3 + 3r * -3) = -11 + -8r (-18 + -9r) = -11 + -8r Solving -18 + -9r = -11 + -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. -18 + -9r + 8r = -11 + -8r + 8r Combine like terms: -9r + 8r = -1r -18 + -1r = -11 + -8r + 8r Combine like terms: -8r + 8r = 0 -18 + -1r = -11 + 0 -18 + -1r = -11 Add '18' to each side of the equation. -18 + 18 + -1r = -11 + 18 Combine like terms: -18 + 18 = 0 0 + -1r = -11 + 18 -1r = -11 + 18 Combine like terms: -11 + 18 = 7 -1r = 7 Divide each side by '-1'. r = -7 Simplifying r = -7
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