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Simplifying 2n + -7n = 5(-3n + 8) + -8(-1n + 2) Combine like terms: 2n + -7n = -5n -5n = 5(-3n + 8) + -8(-1n + 2) Reorder the terms: -5n = 5(8 + -3n) + -8(-1n + 2) -5n = (8 * 5 + -3n * 5) + -8(-1n + 2) -5n = (40 + -15n) + -8(-1n + 2) Reorder the terms: -5n = 40 + -15n + -8(2 + -1n) -5n = 40 + -15n + (2 * -8 + -1n * -8) -5n = 40 + -15n + (-16 + 8n) Reorder the terms: -5n = 40 + -16 + -15n + 8n Combine like terms: 40 + -16 = 24 -5n = 24 + -15n + 8n Combine like terms: -15n + 8n = -7n -5n = 24 + -7n Solving -5n = 24 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. -5n + 7n = 24 + -7n + 7n Combine like terms: -5n + 7n = 2n 2n = 24 + -7n + 7n Combine like terms: -7n + 7n = 0 2n = 24 + 0 2n = 24 Divide each side by '2'. n = 12 Simplifying n = 12
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