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Simplifying -9 + -4(n + 10) = -1(n + -2) Reorder the terms: -9 + -4(10 + n) = -1(n + -2) -9 + (10 * -4 + n * -4) = -1(n + -2) -9 + (-40 + -4n) = -1(n + -2) Combine like terms: -9 + -40 = -49 -49 + -4n = -1(n + -2) Reorder the terms: -49 + -4n = -1(-2 + n) -49 + -4n = (-2 * -1 + n * -1) -49 + -4n = (2 + -1n) Solving -49 + -4n = 2 + -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. -49 + -4n + n = 2 + -1n + n Combine like terms: -4n + n = -3n -49 + -3n = 2 + -1n + n Combine like terms: -1n + n = 0 -49 + -3n = 2 + 0 -49 + -3n = 2 Add '49' to each side of the equation. -49 + 49 + -3n = 2 + 49 Combine like terms: -49 + 49 = 0 0 + -3n = 2 + 49 -3n = 2 + 49 Combine like terms: 2 + 49 = 51 -3n = 51 Divide each side by '-3'. n = -17 Simplifying n = -17
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