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Simplifying -10n + 3(8 + 8n) = -6 + (n + -4) -10n + (8 * 3 + 8n * 3) = -6 + (n + -4) -10n + (24 + 24n) = -6 + (n + -4) Reorder the terms: 24 + -10n + 24n = -6 + (n + -4) Combine like terms: -10n + 24n = 14n 24 + 14n = -6 + (n + -4) Reorder the terms: 24 + 14n = -6 + (-4 + n) Remove parenthesis around (-4 + n) 24 + 14n = -6 + -4 + n Combine like terms: -6 + -4 = -10 24 + 14n = -10 + n Solving 24 + 14n = -10 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 24 + 14n + -1n = -10 + n + -1n Combine like terms: 14n + -1n = 13n 24 + 13n = -10 + n + -1n Combine like terms: n + -1n = 0 24 + 13n = -10 + 0 24 + 13n = -10 Add '-24' to each side of the equation. 24 + -24 + 13n = -10 + -24 Combine like terms: 24 + -24 = 0 0 + 13n = -10 + -24 13n = -10 + -24 Combine like terms: -10 + -24 = -34 13n = -34 Divide each side by '13'. n = -2.615384615 Simplifying n = -2.615384615
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