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Simplifying 33 + -2(7r + 9) = -9 + -6r Reorder the terms: 33 + -2(9 + 7r) = -9 + -6r 33 + (9 * -2 + 7r * -2) = -9 + -6r 33 + (-18 + -14r) = -9 + -6r Combine like terms: 33 + -18 = 15 15 + -14r = -9 + -6r Solving 15 + -14r = -9 + -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. 15 + -14r + 6r = -9 + -6r + 6r Combine like terms: -14r + 6r = -8r 15 + -8r = -9 + -6r + 6r Combine like terms: -6r + 6r = 0 15 + -8r = -9 + 0 15 + -8r = -9 Add '-15' to each side of the equation. 15 + -15 + -8r = -9 + -15 Combine like terms: 15 + -15 = 0 0 + -8r = -9 + -15 -8r = -9 + -15 Combine like terms: -9 + -15 = -24 -8r = -24 Divide each side by '-8'. r = 3 Simplifying r = 3
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