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Simplifying -4(7 + n) = -5n + -31 (7 * -4 + n * -4) = -5n + -31 (-28 + -4n) = -5n + -31 Reorder the terms: -28 + -4n = -31 + -5n Solving -28 + -4n = -31 + -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. -28 + -4n + 5n = -31 + -5n + 5n Combine like terms: -4n + 5n = 1n -28 + 1n = -31 + -5n + 5n Combine like terms: -5n + 5n = 0 -28 + 1n = -31 + 0 -28 + 1n = -31 Add '28' to each side of the equation. -28 + 28 + 1n = -31 + 28 Combine like terms: -28 + 28 = 0 0 + 1n = -31 + 28 1n = -31 + 28 Combine like terms: -31 + 28 = -3 1n = -3 Divide each side by '1'. n = -3 Simplifying n = -3
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