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Simplifying -5(n + -7) = -4n + -6 Reorder the terms: -5(-7 + n) = -4n + -6 (-7 * -5 + n * -5) = -4n + -6 (35 + -5n) = -4n + -6 Reorder the terms: 35 + -5n = -6 + -4n Solving 35 + -5n = -6 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 35 + -5n + 4n = -6 + -4n + 4n Combine like terms: -5n + 4n = -1n 35 + -1n = -6 + -4n + 4n Combine like terms: -4n + 4n = 0 35 + -1n = -6 + 0 35 + -1n = -6 Add '-35' to each side of the equation. 35 + -35 + -1n = -6 + -35 Combine like terms: 35 + -35 = 0 0 + -1n = -6 + -35 -1n = -6 + -35 Combine like terms: -6 + -35 = -41 -1n = -41 Divide each side by '-1'. n = 41 Simplifying n = 41
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