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Simplifying 3n + -12 = -1(n + 6) Reorder the terms: -12 + 3n = -1(n + 6) Reorder the terms: -12 + 3n = -1(6 + n) -12 + 3n = (6 * -1 + n * -1) -12 + 3n = (-6 + -1n) Solving -12 + 3n = -6 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -12 + 3n + n = -6 + -1n + n Combine like terms: 3n + n = 4n -12 + 4n = -6 + -1n + n Combine like terms: -1n + n = 0 -12 + 4n = -6 + 0 -12 + 4n = -6 Add '12' to each side of the equation. -12 + 12 + 4n = -6 + 12 Combine like terms: -12 + 12 = 0 0 + 4n = -6 + 12 4n = -6 + 12 Combine like terms: -6 + 12 = 6 4n = 6 Divide each side by '4'. n = 1.5 Simplifying n = 1.5
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