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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 Solving -21 + -48n = 21 + 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. -21 + -48n + -10n = 21 + 10n + -10n Combine like terms: -48n + -10n = -58n -21 + -58n = 21 + 10n + -10n Combine like terms: 10n + -10n = 0 -21 + -58n = 21 + 0 -21 + -58n = 21 Add '21' to each side of the equation. -21 + 21 + -58n = 21 + 21 Combine like terms: -21 + 21 = 0 0 + -58n = 21 + 21 -58n = 21 + 21 Combine like terms: 21 + 21 = 42 -58n = 42 Divide each side by '-58'. n = -0.724137931 Simplifying n = -0.724137931
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