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Simplifying 5(n + -6) + -1(7 + -3n) = 7n Reorder the terms: 5(-6 + n) + -1(7 + -3n) = 7n (-6 * 5 + n * 5) + -1(7 + -3n) = 7n (-30 + 5n) + -1(7 + -3n) = 7n -30 + 5n + (7 * -1 + -3n * -1) = 7n -30 + 5n + (-7 + 3n) = 7n Reorder the terms: -30 + -7 + 5n + 3n = 7n Combine like terms: -30 + -7 = -37 -37 + 5n + 3n = 7n Combine like terms: 5n + 3n = 8n -37 + 8n = 7n Solving -37 + 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. -37 + 8n + -7n = 7n + -7n Combine like terms: 8n + -7n = 1n -37 + 1n = 7n + -7n Combine like terms: 7n + -7n = 0 -37 + 1n = 0 Add '37' to each side of the equation. -37 + 37 + 1n = 0 + 37 Combine like terms: -37 + 37 = 0 0 + 1n = 0 + 37 1n = 0 + 37 Combine like terms: 0 + 37 = 37 1n = 37 Divide each side by '1'. n = 37 Simplifying n = 37
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