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Simplifying 10n + -11n = -6(n + -1) + -6(1 + -12n) Combine like terms: 10n + -11n = -1n -1n = -6(n + -1) + -6(1 + -12n) Reorder the terms: -1n = -6(-1 + n) + -6(1 + -12n) -1n = (-1 * -6 + n * -6) + -6(1 + -12n) -1n = (6 + -6n) + -6(1 + -12n) -1n = 6 + -6n + (1 * -6 + -12n * -6) -1n = 6 + -6n + (-6 + 72n) Reorder the terms: -1n = 6 + -6 + -6n + 72n Combine like terms: 6 + -6 = 0 -1n = 0 + -6n + 72n -1n = -6n + 72n Combine like terms: -6n + 72n = 66n -1n = 66n Solving -1n = 66n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-66n' to each side of the equation. -1n + -66n = 66n + -66n Combine like terms: -1n + -66n = -67n -67n = 66n + -66n Combine like terms: 66n + -66n = 0 -67n = 0 Divide each side by '-67'. n = 0 Simplifying n = 0
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