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Simplifying 5n + -7n = -1(n + 4) + 4(1 + -5n) Combine like terms: 5n + -7n = -2n -2n = -1(n + 4) + 4(1 + -5n) Reorder the terms: -2n = -1(4 + n) + 4(1 + -5n) -2n = (4 * -1 + n * -1) + 4(1 + -5n) -2n = (-4 + -1n) + 4(1 + -5n) -2n = -4 + -1n + (1 * 4 + -5n * 4) -2n = -4 + -1n + (4 + -20n) Reorder the terms: -2n = -4 + 4 + -1n + -20n Combine like terms: -4 + 4 = 0 -2n = 0 + -1n + -20n -2n = -1n + -20n Combine like terms: -1n + -20n = -21n -2n = -21n Solving -2n = -21n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '21n' to each side of the equation. -2n + 21n = -21n + 21n Combine like terms: -2n + 21n = 19n 19n = -21n + 21n Combine like terms: -21n + 21n = 0 19n = 0 Divide each side by '19'. n = 0 Simplifying n = 0
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