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Simplifying 4(n + -4) + -1(7 + -1n) = 0 Reorder the terms: 4(-4 + n) + -1(7 + -1n) = 0 (-4 * 4 + n * 4) + -1(7 + -1n) = 0 (-16 + 4n) + -1(7 + -1n) = 0 -16 + 4n + (7 * -1 + -1n * -1) = 0 -16 + 4n + (-7 + 1n) = 0 Reorder the terms: -16 + -7 + 4n + 1n = 0 Combine like terms: -16 + -7 = -23 -23 + 4n + 1n = 0 Combine like terms: 4n + 1n = 5n -23 + 5n = 0 Solving -23 + 5n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 5n = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 5n = 0 + 23 5n = 0 + 23 Combine like terms: 0 + 23 = 23 5n = 23 Divide each side by '5'. n = 4.6 Simplifying n = 4.6
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