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Simplifying 4n + 12 = -3n + -6 + 4n Reorder the terms: 12 + 4n = -3n + -6 + 4n Reorder the terms: 12 + 4n = -6 + -3n + 4n Combine like terms: -3n + 4n = 1n 12 + 4n = -6 + 1n Solving 12 + 4n = -6 + 1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 12 + 4n + -1n = -6 + 1n + -1n Combine like terms: 4n + -1n = 3n 12 + 3n = -6 + 1n + -1n Combine like terms: 1n + -1n = 0 12 + 3n = -6 + 0 12 + 3n = -6 Add '-12' to each side of the equation. 12 + -12 + 3n = -6 + -12 Combine like terms: 12 + -12 = 0 0 + 3n = -6 + -12 3n = -6 + -12 Combine like terms: -6 + -12 = -18 3n = -18 Divide each side by '3'. n = -6 Simplifying n = -6
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