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Simplifying 5 + 2(2n + -13) = 8n + 5(6 + -1n) Reorder the terms: 5 + 2(-13 + 2n) = 8n + 5(6 + -1n) 5 + (-13 * 2 + 2n * 2) = 8n + 5(6 + -1n) 5 + (-26 + 4n) = 8n + 5(6 + -1n) Combine like terms: 5 + -26 = -21 -21 + 4n = 8n + 5(6 + -1n) -21 + 4n = 8n + (6 * 5 + -1n * 5) -21 + 4n = 8n + (30 + -5n) Reorder the terms: -21 + 4n = 30 + 8n + -5n Combine like terms: 8n + -5n = 3n -21 + 4n = 30 + 3n Solving -21 + 4n = 30 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -21 + 4n + -3n = 30 + 3n + -3n Combine like terms: 4n + -3n = 1n -21 + 1n = 30 + 3n + -3n Combine like terms: 3n + -3n = 0 -21 + 1n = 30 + 0 -21 + 1n = 30 Add '21' to each side of the equation. -21 + 21 + 1n = 30 + 21 Combine like terms: -21 + 21 = 0 0 + 1n = 30 + 21 1n = 30 + 21 Combine like terms: 30 + 21 = 51 1n = 51 Divide each side by '1'. n = 51 Simplifying n = 51
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