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Simplifying -8(n + 3) + -12(n + -2) = -7n + -8n Reorder the terms: -8(3 + n) + -12(n + -2) = -7n + -8n (3 * -8 + n * -8) + -12(n + -2) = -7n + -8n (-24 + -8n) + -12(n + -2) = -7n + -8n Reorder the terms: -24 + -8n + -12(-2 + n) = -7n + -8n -24 + -8n + (-2 * -12 + n * -12) = -7n + -8n -24 + -8n + (24 + -12n) = -7n + -8n Reorder the terms: -24 + 24 + -8n + -12n = -7n + -8n Combine like terms: -24 + 24 = 0 0 + -8n + -12n = -7n + -8n -8n + -12n = -7n + -8n Combine like terms: -8n + -12n = -20n -20n = -7n + -8n Combine like terms: -7n + -8n = -15n -20n = -15n Solving -20n = -15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '15n' to each side of the equation. -20n + 15n = -15n + 15n Combine like terms: -20n + 15n = -5n -5n = -15n + 15n Combine like terms: -15n + 15n = 0 -5n = 0 Divide each side by '-5'. n = 0 Simplifying n = 0
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