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Simplifying -4n + -40 = -2(7n + 5) Reorder the terms: -40 + -4n = -2(7n + 5) Reorder the terms: -40 + -4n = -2(5 + 7n) -40 + -4n = (5 * -2 + 7n * -2) -40 + -4n = (-10 + -14n) Solving -40 + -4n = -10 + -14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '14n' to each side of the equation. -40 + -4n + 14n = -10 + -14n + 14n Combine like terms: -4n + 14n = 10n -40 + 10n = -10 + -14n + 14n Combine like terms: -14n + 14n = 0 -40 + 10n = -10 + 0 -40 + 10n = -10 Add '40' to each side of the equation. -40 + 40 + 10n = -10 + 40 Combine like terms: -40 + 40 = 0 0 + 10n = -10 + 40 10n = -10 + 40 Combine like terms: -10 + 40 = 30 10n = 30 Divide each side by '10'. n = 3 Simplifying n = 3
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