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Simplifying 11 + -1(n + -7) = 3n + 5 Reorder the terms: 11 + -1(-7 + n) = 3n + 5 11 + (-7 * -1 + n * -1) = 3n + 5 11 + (7 + -1n) = 3n + 5 Combine like terms: 11 + 7 = 18 18 + -1n = 3n + 5 Reorder the terms: 18 + -1n = 5 + 3n Solving 18 + -1n = 5 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 18 + -1n + -3n = 5 + 3n + -3n Combine like terms: -1n + -3n = -4n 18 + -4n = 5 + 3n + -3n Combine like terms: 3n + -3n = 0 18 + -4n = 5 + 0 18 + -4n = 5 Add '-18' to each side of the equation. 18 + -18 + -4n = 5 + -18 Combine like terms: 18 + -18 = 0 0 + -4n = 5 + -18 -4n = 5 + -18 Combine like terms: 5 + -18 = -13 -4n = -13 Divide each side by '-4'. n = 3.25 Simplifying n = 3.25
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