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Simplifying -3n + -5 + 7n + -1 = 4(n + -4) + -5(-3 + n) Reorder the terms: -5 + -1 + -3n + 7n = 4(n + -4) + -5(-3 + n) Combine like terms: -5 + -1 = -6 -6 + -3n + 7n = 4(n + -4) + -5(-3 + n) Combine like terms: -3n + 7n = 4n -6 + 4n = 4(n + -4) + -5(-3 + n) Reorder the terms: -6 + 4n = 4(-4 + n) + -5(-3 + n) -6 + 4n = (-4 * 4 + n * 4) + -5(-3 + n) -6 + 4n = (-16 + 4n) + -5(-3 + n) -6 + 4n = -16 + 4n + (-3 * -5 + n * -5) -6 + 4n = -16 + 4n + (15 + -5n) Reorder the terms: -6 + 4n = -16 + 15 + 4n + -5n Combine like terms: -16 + 15 = -1 -6 + 4n = -1 + 4n + -5n Combine like terms: 4n + -5n = -1n -6 + 4n = -1 + -1n Solving -6 + 4n = -1 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -6 + 4n + n = -1 + -1n + n Combine like terms: 4n + n = 5n -6 + 5n = -1 + -1n + n Combine like terms: -1n + n = 0 -6 + 5n = -1 + 0 -6 + 5n = -1 Add '6' to each side of the equation. -6 + 6 + 5n = -1 + 6 Combine like terms: -6 + 6 = 0 0 + 5n = -1 + 6 5n = -1 + 6 Combine like terms: -1 + 6 = 5 5n = 5 Divide each side by '5'. n = 1 Simplifying n = 1
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