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Simplifying -3(n + 6) + 7(-2 + -3n) = -32 Reorder the terms: -3(6 + n) + 7(-2 + -3n) = -32 (6 * -3 + n * -3) + 7(-2 + -3n) = -32 (-18 + -3n) + 7(-2 + -3n) = -32 -18 + -3n + (-2 * 7 + -3n * 7) = -32 -18 + -3n + (-14 + -21n) = -32 Reorder the terms: -18 + -14 + -3n + -21n = -32 Combine like terms: -18 + -14 = -32 -32 + -3n + -21n = -32 Combine like terms: -3n + -21n = -24n -32 + -24n = -32 Add '32' to each side of the equation. -32 + 32 + -24n = -32 + 32 Combine like terms: -32 + 32 = 0 0 + -24n = -32 + 32 -24n = -32 + 32 Combine like terms: -32 + 32 = 0 -24n = 0 Solving -24n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Divide each side by '-24'. n = 0 Simplifying n = 0
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