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Simplifying 4(-1n + 6) + 6 = 12 + -7n Reorder the terms: 4(6 + -1n) + 6 = 12 + -7n (6 * 4 + -1n * 4) + 6 = 12 + -7n (24 + -4n) + 6 = 12 + -7n Reorder the terms: 24 + 6 + -4n = 12 + -7n Combine like terms: 24 + 6 = 30 30 + -4n = 12 + -7n Solving 30 + -4n = 12 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. 30 + -4n + 7n = 12 + -7n + 7n Combine like terms: -4n + 7n = 3n 30 + 3n = 12 + -7n + 7n Combine like terms: -7n + 7n = 0 30 + 3n = 12 + 0 30 + 3n = 12 Add '-30' to each side of the equation. 30 + -30 + 3n = 12 + -30 Combine like terms: 30 + -30 = 0 0 + 3n = 12 + -30 3n = 12 + -30 Combine like terms: 12 + -30 = -18 3n = -18 Divide each side by '3'. n = -6 Simplifying n = -6
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