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Simplifying -4n + -5(n + 7) = -23 + -5n Reorder the terms: -4n + -5(7 + n) = -23 + -5n -4n + (7 * -5 + n * -5) = -23 + -5n -4n + (-35 + -5n) = -23 + -5n Reorder the terms: -35 + -4n + -5n = -23 + -5n Combine like terms: -4n + -5n = -9n -35 + -9n = -23 + -5n Solving -35 + -9n = -23 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. -35 + -9n + 5n = -23 + -5n + 5n Combine like terms: -9n + 5n = -4n -35 + -4n = -23 + -5n + 5n Combine like terms: -5n + 5n = 0 -35 + -4n = -23 + 0 -35 + -4n = -23 Add '35' to each side of the equation. -35 + 35 + -4n = -23 + 35 Combine like terms: -35 + 35 = 0 0 + -4n = -23 + 35 -4n = -23 + 35 Combine like terms: -23 + 35 = 12 -4n = 12 Divide each side by '-4'. n = -3 Simplifying n = -3
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