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Simplifying 5(n + -2) + -1(4 + -3n) = 7n Reorder the terms: 5(-2 + n) + -1(4 + -3n) = 7n (-2 * 5 + n * 5) + -1(4 + -3n) = 7n (-10 + 5n) + -1(4 + -3n) = 7n -10 + 5n + (4 * -1 + -3n * -1) = 7n -10 + 5n + (-4 + 3n) = 7n Reorder the terms: -10 + -4 + 5n + 3n = 7n Combine like terms: -10 + -4 = -14 -14 + 5n + 3n = 7n Combine like terms: 5n + 3n = 8n -14 + 8n = 7n Solving -14 + 8n = 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. -14 + 8n + -7n = 7n + -7n Combine like terms: 8n + -7n = 1n -14 + 1n = 7n + -7n Combine like terms: 7n + -7n = 0 -14 + 1n = 0 Add '14' to each side of the equation. -14 + 14 + 1n = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 1n = 0 + 14 1n = 0 + 14 Combine like terms: 0 + 14 = 14 1n = 14 Divide each side by '1'. n = 14 Simplifying n = 14
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