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Simplifying 7w + 5(n + 6) + -2n = 0 Reorder the terms: 7w + 5(6 + n) + -2n = 0 7w + (6 * 5 + n * 5) + -2n = 0 7w + (30 + 5n) + -2n = 0 Reorder the terms: 30 + 5n + -2n + 7w = 0 Combine like terms: 5n + -2n = 3n 30 + 3n + 7w = 0 Solving 30 + 3n + 7w = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + 3n + -30 + 7w = 0 + -30 Reorder the terms: 30 + -30 + 3n + 7w = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 3n + 7w = 0 + -30 3n + 7w = 0 + -30 Combine like terms: 0 + -30 = -30 3n + 7w = -30 Add '-7w' to each side of the equation. 3n + 7w + -7w = -30 + -7w Combine like terms: 7w + -7w = 0 3n + 0 = -30 + -7w 3n = -30 + -7w Divide each side by '3'. n = -10 + -2.333333333w Simplifying n = -10 + -2.333333333w
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