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Simplifying -10n + -1(8 + 8n) = -6(n + -4) -10n + (8 * -1 + 8n * -1) = -6(n + -4) -10n + (-8 + -8n) = -6(n + -4) Reorder the terms: -8 + -10n + -8n = -6(n + -4) Combine like terms: -10n + -8n = -18n -8 + -18n = -6(n + -4) Reorder the terms: -8 + -18n = -6(-4 + n) -8 + -18n = (-4 * -6 + n * -6) -8 + -18n = (24 + -6n) Solving -8 + -18n = 24 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -8 + -18n + 6n = 24 + -6n + 6n Combine like terms: -18n + 6n = -12n -8 + -12n = 24 + -6n + 6n Combine like terms: -6n + 6n = 0 -8 + -12n = 24 + 0 -8 + -12n = 24 Add '8' to each side of the equation. -8 + 8 + -12n = 24 + 8 Combine like terms: -8 + 8 = 0 0 + -12n = 24 + 8 -12n = 24 + 8 Combine like terms: 24 + 8 = 32 -12n = 32 Divide each side by '-12'. n = -2.666666667 Simplifying n = -2.666666667
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