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Simplifying -3 + -3(6n + 8) = -5(2n + -1) + -1 Reorder the terms: -3 + -3(8 + 6n) = -5(2n + -1) + -1 -3 + (8 * -3 + 6n * -3) = -5(2n + -1) + -1 -3 + (-24 + -18n) = -5(2n + -1) + -1 Combine like terms: -3 + -24 = -27 -27 + -18n = -5(2n + -1) + -1 Reorder the terms: -27 + -18n = -5(-1 + 2n) + -1 -27 + -18n = (-1 * -5 + 2n * -5) + -1 -27 + -18n = (5 + -10n) + -1 Reorder the terms: -27 + -18n = 5 + -1 + -10n Combine like terms: 5 + -1 = 4 -27 + -18n = 4 + -10n Solving -27 + -18n = 4 + -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. -27 + -18n + 10n = 4 + -10n + 10n Combine like terms: -18n + 10n = -8n -27 + -8n = 4 + -10n + 10n Combine like terms: -10n + 10n = 0 -27 + -8n = 4 + 0 -27 + -8n = 4 Add '27' to each side of the equation. -27 + 27 + -8n = 4 + 27 Combine like terms: -27 + 27 = 0 0 + -8n = 4 + 27 -8n = 4 + 27 Combine like terms: 4 + 27 = 31 -8n = 31 Divide each side by '-8'. n = -3.875 Simplifying n = -3.875
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