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Simplifying -11(8n + 10) + 4(7n + -6) = 6n + n Reorder the terms: -11(10 + 8n) + 4(7n + -6) = 6n + n (10 * -11 + 8n * -11) + 4(7n + -6) = 6n + n (-110 + -88n) + 4(7n + -6) = 6n + n Reorder the terms: -110 + -88n + 4(-6 + 7n) = 6n + n -110 + -88n + (-6 * 4 + 7n * 4) = 6n + n -110 + -88n + (-24 + 28n) = 6n + n Reorder the terms: -110 + -24 + -88n + 28n = 6n + n Combine like terms: -110 + -24 = -134 -134 + -88n + 28n = 6n + n Combine like terms: -88n + 28n = -60n -134 + -60n = 6n + n Combine like terms: 6n + n = 7n -134 + -60n = 7n Solving -134 + -60n = 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -134 + -60n + -7n = 7n + -7n Combine like terms: -60n + -7n = -67n -134 + -67n = 7n + -7n Combine like terms: 7n + -7n = 0 -134 + -67n = 0 Add '134' to each side of the equation. -134 + 134 + -67n = 0 + 134 Combine like terms: -134 + 134 = 0 0 + -67n = 0 + 134 -67n = 0 + 134 Combine like terms: 0 + 134 = 134 -67n = 134 Divide each side by '-67'. n = -2 Simplifying n = -2
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