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Simplifying 7n + -3(6n + -4) = -8n + 6 Reorder the terms: 7n + -3(-4 + 6n) = -8n + 6 7n + (-4 * -3 + 6n * -3) = -8n + 6 7n + (12 + -18n) = -8n + 6 Reorder the terms: 12 + 7n + -18n = -8n + 6 Combine like terms: 7n + -18n = -11n 12 + -11n = -8n + 6 Reorder the terms: 12 + -11n = 6 + -8n Solving 12 + -11n = 6 + -8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8n' to each side of the equation. 12 + -11n + 8n = 6 + -8n + 8n Combine like terms: -11n + 8n = -3n 12 + -3n = 6 + -8n + 8n Combine like terms: -8n + 8n = 0 12 + -3n = 6 + 0 12 + -3n = 6 Add '-12' to each side of the equation. 12 + -12 + -3n = 6 + -12 Combine like terms: 12 + -12 = 0 0 + -3n = 6 + -12 -3n = 6 + -12 Combine like terms: 6 + -12 = -6 -3n = -6 Divide each side by '-3'. n = 2 Simplifying n = 2
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