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Simplifying -5(n + 7) = -4n + -4 Reorder the terms: -5(7 + n) = -4n + -4 (7 * -5 + n * -5) = -4n + -4 (-35 + -5n) = -4n + -4 Reorder the terms: -35 + -5n = -4 + -4n Solving -35 + -5n = -4 + -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 = -4 + -4n + 4n Combine like terms: -5n + 4n = -1n -35 + -1n = -4 + -4n + 4n Combine like terms: -4n + 4n = 0 -35 + -1n = -4 + 0 -35 + -1n = -4 Add '35' to each side of the equation. -35 + 35 + -1n = -4 + 35 Combine like terms: -35 + 35 = 0 0 + -1n = -4 + 35 -1n = -4 + 35 Combine like terms: -4 + 35 = 31 -1n = 31 Divide each side by '-1'. n = -31 Simplifying n = -31
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