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Simplifying 4(10n + 11) + 11 = 2n + -363 Reorder the terms: 4(11 + 10n) + 11 = 2n + -363 (11 * 4 + 10n * 4) + 11 = 2n + -363 (44 + 40n) + 11 = 2n + -363 Reorder the terms: 44 + 11 + 40n = 2n + -363 Combine like terms: 44 + 11 = 55 55 + 40n = 2n + -363 Reorder the terms: 55 + 40n = -363 + 2n Solving 55 + 40n = -363 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 55 + 40n + -2n = -363 + 2n + -2n Combine like terms: 40n + -2n = 38n 55 + 38n = -363 + 2n + -2n Combine like terms: 2n + -2n = 0 55 + 38n = -363 + 0 55 + 38n = -363 Add '-55' to each side of the equation. 55 + -55 + 38n = -363 + -55 Combine like terms: 55 + -55 = 0 0 + 38n = -363 + -55 38n = -363 + -55 Combine like terms: -363 + -55 = -418 38n = -418 Divide each side by '38'. n = -11 Simplifying n = -11
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