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Simplifying 3(-2 + -3n) + -3n = -42 (-2 * 3 + -3n * 3) + -3n = -42 (-6 + -9n) + -3n = -42 Combine like terms: -9n + -3n = -12n -6 + -12n = -42 Solving -6 + -12n = -42 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -12n = -42 + 6 Combine like terms: -6 + 6 = 0 0 + -12n = -42 + 6 -12n = -42 + 6 Combine like terms: -42 + 6 = -36 -12n = -36 Divide each side by '-12'. n = 3 Simplifying n = 3
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