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Simplifying 4w + 5 + 3n + 6w + 7 = 0 Reorder the terms: 5 + 7 + 3n + 4w + 6w = 0 Combine like terms: 5 + 7 = 12 12 + 3n + 4w + 6w = 0 Combine like terms: 4w + 6w = 10w 12 + 3n + 10w = 0 Solving 12 + 3n + 10w = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 3n + -12 + 10w = 0 + -12 Reorder the terms: 12 + -12 + 3n + 10w = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 3n + 10w = 0 + -12 3n + 10w = 0 + -12 Combine like terms: 0 + -12 = -12 3n + 10w = -12 Add '-10w' to each side of the equation. 3n + 10w + -10w = -12 + -10w Combine like terms: 10w + -10w = 0 3n + 0 = -12 + -10w 3n = -12 + -10w Divide each side by '3'. n = -4 + -3.333333333w Simplifying n = -4 + -3.333333333w
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