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Simplifying -4 + 6(n + -1) = -30 + -4n Reorder the terms: -4 + 6(-1 + n) = -30 + -4n -4 + (-1 * 6 + n * 6) = -30 + -4n -4 + (-6 + 6n) = -30 + -4n Combine like terms: -4 + -6 = -10 -10 + 6n = -30 + -4n Solving -10 + 6n = -30 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. -10 + 6n + 4n = -30 + -4n + 4n Combine like terms: 6n + 4n = 10n -10 + 10n = -30 + -4n + 4n Combine like terms: -4n + 4n = 0 -10 + 10n = -30 + 0 -10 + 10n = -30 Add '10' to each side of the equation. -10 + 10 + 10n = -30 + 10 Combine like terms: -10 + 10 = 0 0 + 10n = -30 + 10 10n = -30 + 10 Combine like terms: -30 + 10 = -20 10n = -20 Divide each side by '10'. n = -2 Simplifying n = -2
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