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Simplifying 6(3n + -4) + -1(1 + -3n) = -67 Reorder the terms: 6(-4 + 3n) + -1(1 + -3n) = -67 (-4 * 6 + 3n * 6) + -1(1 + -3n) = -67 (-24 + 18n) + -1(1 + -3n) = -67 -24 + 18n + (1 * -1 + -3n * -1) = -67 -24 + 18n + (-1 + 3n) = -67 Reorder the terms: -24 + -1 + 18n + 3n = -67 Combine like terms: -24 + -1 = -25 -25 + 18n + 3n = -67 Combine like terms: 18n + 3n = 21n -25 + 21n = -67 Solving -25 + 21n = -67 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 21n = -67 + 25 Combine like terms: -25 + 25 = 0 0 + 21n = -67 + 25 21n = -67 + 25 Combine like terms: -67 + 25 = -42 21n = -42 Divide each side by '21'. n = -2 Simplifying n = -2
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