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Simplifying -4(n + 4) = 5(n + -14) + -3n Reorder the terms: -4(4 + n) = 5(n + -14) + -3n (4 * -4 + n * -4) = 5(n + -14) + -3n (-16 + -4n) = 5(n + -14) + -3n Reorder the terms: -16 + -4n = 5(-14 + n) + -3n -16 + -4n = (-14 * 5 + n * 5) + -3n -16 + -4n = (-70 + 5n) + -3n Combine like terms: 5n + -3n = 2n -16 + -4n = -70 + 2n Solving -16 + -4n = -70 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -16 + -4n + -2n = -70 + 2n + -2n Combine like terms: -4n + -2n = -6n -16 + -6n = -70 + 2n + -2n Combine like terms: 2n + -2n = 0 -16 + -6n = -70 + 0 -16 + -6n = -70 Add '16' to each side of the equation. -16 + 16 + -6n = -70 + 16 Combine like terms: -16 + 16 = 0 0 + -6n = -70 + 16 -6n = -70 + 16 Combine like terms: -70 + 16 = -54 -6n = -54 Divide each side by '-6'. n = 9 Simplifying n = 9
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