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Simplifying 4n + -30 = 6(3n + -4) + -8n Reorder the terms: -30 + 4n = 6(3n + -4) + -8n Reorder the terms: -30 + 4n = 6(-4 + 3n) + -8n -30 + 4n = (-4 * 6 + 3n * 6) + -8n -30 + 4n = (-24 + 18n) + -8n Combine like terms: 18n + -8n = 10n -30 + 4n = -24 + 10n Solving -30 + 4n = -24 + 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 + 4n + -10n = -24 + 10n + -10n Combine like terms: 4n + -10n = -6n -30 + -6n = -24 + 10n + -10n Combine like terms: 10n + -10n = 0 -30 + -6n = -24 + 0 -30 + -6n = -24 Add '30' to each side of the equation. -30 + 30 + -6n = -24 + 30 Combine like terms: -30 + 30 = 0 0 + -6n = -24 + 30 -6n = -24 + 30 Combine like terms: -24 + 30 = 6 -6n = 6 Divide each side by '-6'. n = -1 Simplifying n = -1
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