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Simplifying -6 + -12(-11 + 8) = -10(n + -4) Combine like terms: -11 + 8 = -3 -6 + -12(-3) = -10(n + -4) Multiply -12 * -3 -6 + 36 = -10(n + -4) Combine like terms: -6 + 36 = 30 30 = -10(n + -4) Reorder the terms: 30 = -10(-4 + n) 30 = (-4 * -10 + n * -10) 30 = (40 + -10n) Solving 30 = 40 + -10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '10n' to each side of the equation. 30 + 10n = 40 + -10n + 10n Combine like terms: -10n + 10n = 0 30 + 10n = 40 + 0 30 + 10n = 40 Add '-30' to each side of the equation. 30 + -30 + 10n = 40 + -30 Combine like terms: 30 + -30 = 0 0 + 10n = 40 + -30 10n = 40 + -30 Combine like terms: 40 + -30 = 10 10n = 10 Divide each side by '10'. n = 1 Simplifying n = 1
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