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Simplifying -7(n + 12) = 4n + -1(7n + -4) Reorder the terms: -7(12 + n) = 4n + -1(7n + -4) (12 * -7 + n * -7) = 4n + -1(7n + -4) (-84 + -7n) = 4n + -1(7n + -4) Reorder the terms: -84 + -7n = 4n + -1(-4 + 7n) -84 + -7n = 4n + (-4 * -1 + 7n * -1) -84 + -7n = 4n + (4 + -7n) Reorder the terms: -84 + -7n = 4 + 4n + -7n Combine like terms: 4n + -7n = -3n -84 + -7n = 4 + -3n Solving -84 + -7n = 4 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. -84 + -7n + 3n = 4 + -3n + 3n Combine like terms: -7n + 3n = -4n -84 + -4n = 4 + -3n + 3n Combine like terms: -3n + 3n = 0 -84 + -4n = 4 + 0 -84 + -4n = 4 Add '84' to each side of the equation. -84 + 84 + -4n = 4 + 84 Combine like terms: -84 + 84 = 0 0 + -4n = 4 + 84 -4n = 4 + 84 Combine like terms: 4 + 84 = 88 -4n = 88 Divide each side by '-4'. n = -22 Simplifying n = -22
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