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Simplifying -11n + -10n = 2(n + -3) + -2(12 + 4n) Combine like terms: -11n + -10n = -21n -21n = 2(n + -3) + -2(12 + 4n) Reorder the terms: -21n = 2(-3 + n) + -2(12 + 4n) -21n = (-3 * 2 + n * 2) + -2(12 + 4n) -21n = (-6 + 2n) + -2(12 + 4n) -21n = -6 + 2n + (12 * -2 + 4n * -2) -21n = -6 + 2n + (-24 + -8n) Reorder the terms: -21n = -6 + -24 + 2n + -8n Combine like terms: -6 + -24 = -30 -21n = -30 + 2n + -8n Combine like terms: 2n + -8n = -6n -21n = -30 + -6n Solving -21n = -30 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -21n + 6n = -30 + -6n + 6n Combine like terms: -21n + 6n = -15n -15n = -30 + -6n + 6n Combine like terms: -6n + 6n = 0 -15n = -30 + 0 -15n = -30 Divide each side by '-15'. n = 2 Simplifying n = 2
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