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Simplifying -5 + -2(1 + -7n) = 4n + 3 -5 + (1 * -2 + -7n * -2) = 4n + 3 -5 + (-2 + 14n) = 4n + 3 Combine like terms: -5 + -2 = -7 -7 + 14n = 4n + 3 Reorder the terms: -7 + 14n = 3 + 4n Solving -7 + 14n = 3 + 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. -7 + 14n + -4n = 3 + 4n + -4n Combine like terms: 14n + -4n = 10n -7 + 10n = 3 + 4n + -4n Combine like terms: 4n + -4n = 0 -7 + 10n = 3 + 0 -7 + 10n = 3 Add '7' to each side of the equation. -7 + 7 + 10n = 3 + 7 Combine like terms: -7 + 7 = 0 0 + 10n = 3 + 7 10n = 3 + 7 Combine like terms: 3 + 7 = 10 10n = 10 Divide each side by '10'. n = 1 Simplifying n = 1
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