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Simplifying -11(5n + 3) + -3(4n + 8) = -3n + -7n Reorder the terms: -11(3 + 5n) + -3(4n + 8) = -3n + -7n (3 * -11 + 5n * -11) + -3(4n + 8) = -3n + -7n (-33 + -55n) + -3(4n + 8) = -3n + -7n Reorder the terms: -33 + -55n + -3(8 + 4n) = -3n + -7n -33 + -55n + (8 * -3 + 4n * -3) = -3n + -7n -33 + -55n + (-24 + -12n) = -3n + -7n Reorder the terms: -33 + -24 + -55n + -12n = -3n + -7n Combine like terms: -33 + -24 = -57 -57 + -55n + -12n = -3n + -7n Combine like terms: -55n + -12n = -67n -57 + -67n = -3n + -7n Combine like terms: -3n + -7n = -10n -57 + -67n = -10n Solving -57 + -67n = -10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '10n' to each side of the equation. -57 + -67n + 10n = -10n + 10n Combine like terms: -67n + 10n = -57n -57 + -57n = -10n + 10n Combine like terms: -10n + 10n = 0 -57 + -57n = 0 Add '57' to each side of the equation. -57 + 57 + -57n = 0 + 57 Combine like terms: -57 + 57 = 0 0 + -57n = 0 + 57 -57n = 0 + 57 Combine like terms: 0 + 57 = 57 -57n = 57 Divide each side by '-57'. n = -1 Simplifying n = -1
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