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Simplifying 4n + -1(n + 6) = 12 + -36 Reorder the terms: 4n + -1(6 + n) = 12 + -36 4n + (6 * -1 + n * -1) = 12 + -36 4n + (-6 + -1n) = 12 + -36 Reorder the terms: -6 + 4n + -1n = 12 + -36 Combine like terms: 4n + -1n = 3n -6 + 3n = 12 + -36 Combine like terms: 12 + -36 = -24 -6 + 3n = -24 Solving -6 + 3n = -24 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 + 3n = -24 + 6 Combine like terms: -6 + 6 = 0 0 + 3n = -24 + 6 3n = -24 + 6 Combine like terms: -24 + 6 = -18 3n = -18 Divide each side by '3'. n = -6 Simplifying n = -6
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