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Simplifying 3 + -6(4 + 8n) = -21 + 10n 3 + (4 * -6 + 8n * -6) = -21 + 10n 3 + (-24 + -48n) = -21 + 10n Combine like terms: 3 + -24 = -21 -21 + -48n = -21 + 10n Add '21' to each side of the equation. -21 + 21 + -48n = -21 + 21 + 10n Combine like terms: -21 + 21 = 0 0 + -48n = -21 + 21 + 10n -48n = -21 + 21 + 10n Combine like terms: -21 + 21 = 0 -48n = 0 + 10n -48n = 10n Solving -48n = 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. -48n + -10n = 10n + -10n Combine like terms: -48n + -10n = -58n -58n = 10n + -10n Combine like terms: 10n + -10n = 0 -58n = 0 Divide each side by '-58'. n = 0 Simplifying n = 0
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