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Simplifying 3(4 + -5n) = -78 (4 * 3 + -5n * 3) = -78 (12 + -15n) = -78 Solving 12 + -15n = -78 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -15n = -78 + -12 Combine like terms: 12 + -12 = 0 0 + -15n = -78 + -12 -15n = -78 + -12 Combine like terms: -78 + -12 = -90 -15n = -90 Divide each side by '-15'. n = 6 Simplifying n = 6
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