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Simplifying -4n + 4(8n + 11) = -7n + 4(-4 + 10n) Reorder the terms: -4n + 4(11 + 8n) = -7n + 4(-4 + 10n) -4n + (11 * 4 + 8n * 4) = -7n + 4(-4 + 10n) -4n + (44 + 32n) = -7n + 4(-4 + 10n) Reorder the terms: 44 + -4n + 32n = -7n + 4(-4 + 10n) Combine like terms: -4n + 32n = 28n 44 + 28n = -7n + 4(-4 + 10n) 44 + 28n = -7n + (-4 * 4 + 10n * 4) 44 + 28n = -7n + (-16 + 40n) Reorder the terms: 44 + 28n = -16 + -7n + 40n Combine like terms: -7n + 40n = 33n 44 + 28n = -16 + 33n Solving 44 + 28n = -16 + 33n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-33n' to each side of the equation. 44 + 28n + -33n = -16 + 33n + -33n Combine like terms: 28n + -33n = -5n 44 + -5n = -16 + 33n + -33n Combine like terms: 33n + -33n = 0 44 + -5n = -16 + 0 44 + -5n = -16 Add '-44' to each side of the equation. 44 + -44 + -5n = -16 + -44 Combine like terms: 44 + -44 = 0 0 + -5n = -16 + -44 -5n = -16 + -44 Combine like terms: -16 + -44 = -60 -5n = -60 Divide each side by '-5'. n = 12 Simplifying n = 12
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