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Simplifying -8(n + -4) + -10(n + 11) = 12n + 7n Reorder the terms: -8(-4 + n) + -10(n + 11) = 12n + 7n (-4 * -8 + n * -8) + -10(n + 11) = 12n + 7n (32 + -8n) + -10(n + 11) = 12n + 7n Reorder the terms: 32 + -8n + -10(11 + n) = 12n + 7n 32 + -8n + (11 * -10 + n * -10) = 12n + 7n 32 + -8n + (-110 + -10n) = 12n + 7n Reorder the terms: 32 + -110 + -8n + -10n = 12n + 7n Combine like terms: 32 + -110 = -78 -78 + -8n + -10n = 12n + 7n Combine like terms: -8n + -10n = -18n -78 + -18n = 12n + 7n Combine like terms: 12n + 7n = 19n -78 + -18n = 19n Solving -78 + -18n = 19n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-19n' to each side of the equation. -78 + -18n + -19n = 19n + -19n Combine like terms: -18n + -19n = -37n -78 + -37n = 19n + -19n Combine like terms: 19n + -19n = 0 -78 + -37n = 0 Add '78' to each side of the equation. -78 + 78 + -37n = 0 + 78 Combine like terms: -78 + 78 = 0 0 + -37n = 0 + 78 -37n = 0 + 78 Combine like terms: 0 + 78 = 78 -37n = 78 Divide each side by '-37'. n = -2.108108108 Simplifying n = -2.108108108
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