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Simplifying -4(7 + -1n) = 6n + -12 (7 * -4 + -1n * -4) = 6n + -12 (-28 + 4n) = 6n + -12 Reorder the terms: -28 + 4n = -12 + 6n Solving -28 + 4n = -12 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -28 + 4n + -6n = -12 + 6n + -6n Combine like terms: 4n + -6n = -2n -28 + -2n = -12 + 6n + -6n Combine like terms: 6n + -6n = 0 -28 + -2n = -12 + 0 -28 + -2n = -12 Add '28' to each side of the equation. -28 + 28 + -2n = -12 + 28 Combine like terms: -28 + 28 = 0 0 + -2n = -12 + 28 -2n = -12 + 28 Combine like terms: -12 + 28 = 16 -2n = 16 Divide each side by '-2'. n = -8 Simplifying n = -8
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