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Simplifying 1(4n + 6) = 10n + -24 + -2n Reorder the terms: 1(6 + 4n) = 10n + -24 + -2n (6 * 1 + 4n * 1) = 10n + -24 + -2n (6 + 4n) = 10n + -24 + -2n Reorder the terms: 6 + 4n = -24 + 10n + -2n Combine like terms: 10n + -2n = 8n 6 + 4n = -24 + 8n Solving 6 + 4n = -24 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. 6 + 4n + -8n = -24 + 8n + -8n Combine like terms: 4n + -8n = -4n 6 + -4n = -24 + 8n + -8n Combine like terms: 8n + -8n = 0 6 + -4n = -24 + 0 6 + -4n = -24 Add '-6' to each side of the equation. 6 + -6 + -4n = -24 + -6 Combine like terms: 6 + -6 = 0 0 + -4n = -24 + -6 -4n = -24 + -6 Combine like terms: -24 + -6 = -30 -4n = -30 Divide each side by '-4'. n = 7.5 Simplifying n = 7.5
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