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Simplifying 7n + -14 = -3(1 + -4n) + 4 Reorder the terms: -14 + 7n = -3(1 + -4n) + 4 -14 + 7n = (1 * -3 + -4n * -3) + 4 -14 + 7n = (-3 + 12n) + 4 Reorder the terms: -14 + 7n = -3 + 4 + 12n Combine like terms: -3 + 4 = 1 -14 + 7n = 1 + 12n Solving -14 + 7n = 1 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. -14 + 7n + -12n = 1 + 12n + -12n Combine like terms: 7n + -12n = -5n -14 + -5n = 1 + 12n + -12n Combine like terms: 12n + -12n = 0 -14 + -5n = 1 + 0 -14 + -5n = 1 Add '14' to each side of the equation. -14 + 14 + -5n = 1 + 14 Combine like terms: -14 + 14 = 0 0 + -5n = 1 + 14 -5n = 1 + 14 Combine like terms: 1 + 14 = 15 -5n = 15 Divide each side by '-5'. n = -3 Simplifying n = -3
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