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Simplifying -2 + -3(2n + -4) = -10(n + 1) + 8n Reorder the terms: -2 + -3(-4 + 2n) = -10(n + 1) + 8n -2 + (-4 * -3 + 2n * -3) = -10(n + 1) + 8n -2 + (12 + -6n) = -10(n + 1) + 8n Combine like terms: -2 + 12 = 10 10 + -6n = -10(n + 1) + 8n Reorder the terms: 10 + -6n = -10(1 + n) + 8n 10 + -6n = (1 * -10 + n * -10) + 8n 10 + -6n = (-10 + -10n) + 8n Combine like terms: -10n + 8n = -2n 10 + -6n = -10 + -2n Solving 10 + -6n = -10 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 10 + -6n + 2n = -10 + -2n + 2n Combine like terms: -6n + 2n = -4n 10 + -4n = -10 + -2n + 2n Combine like terms: -2n + 2n = 0 10 + -4n = -10 + 0 10 + -4n = -10 Add '-10' to each side of the equation. 10 + -10 + -4n = -10 + -10 Combine like terms: 10 + -10 = 0 0 + -4n = -10 + -10 -4n = -10 + -10 Combine like terms: -10 + -10 = -20 -4n = -20 Divide each side by '-4'. n = 5 Simplifying n = 5
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