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Simplifying 4(n + -1) = n + 11 Reorder the terms: 4(-1 + n) = n + 11 (-1 * 4 + n * 4) = n + 11 (-4 + 4n) = n + 11 Reorder the terms: -4 + 4n = 11 + n Solving -4 + 4n = 11 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -4 + 4n + -1n = 11 + n + -1n Combine like terms: 4n + -1n = 3n -4 + 3n = 11 + n + -1n Combine like terms: n + -1n = 0 -4 + 3n = 11 + 0 -4 + 3n = 11 Add '4' to each side of the equation. -4 + 4 + 3n = 11 + 4 Combine like terms: -4 + 4 = 0 0 + 3n = 11 + 4 3n = 11 + 4 Combine like terms: 11 + 4 = 15 3n = 15 Divide each side by '3'. n = 5 Simplifying n = 5
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