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Simplifying -26 + 3n = -5(4 + n) + 2 -26 + 3n = (4 * -5 + n * -5) + 2 -26 + 3n = (-20 + -5n) + 2 Reorder the terms: -26 + 3n = -20 + 2 + -5n Combine like terms: -20 + 2 = -18 -26 + 3n = -18 + -5n Solving -26 + 3n = -18 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. -26 + 3n + 5n = -18 + -5n + 5n Combine like terms: 3n + 5n = 8n -26 + 8n = -18 + -5n + 5n Combine like terms: -5n + 5n = 0 -26 + 8n = -18 + 0 -26 + 8n = -18 Add '26' to each side of the equation. -26 + 26 + 8n = -18 + 26 Combine like terms: -26 + 26 = 0 0 + 8n = -18 + 26 8n = -18 + 26 Combine like terms: -18 + 26 = 8 8n = 8 Divide each side by '8'. n = 1 Simplifying n = 1
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