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Simplifying 7m + 5n + -4n + 3N = 0 Reorder the terms: 3N + 7m + 5n + -4n = 0 Combine like terms: 5n + -4n = 1n 3N + 7m + 1n = 0 Solving 3N + 7m + 1n = 0 Solving for variable 'N'. Move all terms containing N to the left, all other terms to the right. Add '-7m' to each side of the equation. 3N + 7m + -7m + 1n = 0 + -7m Combine like terms: 7m + -7m = 0 3N + 0 + 1n = 0 + -7m 3N + 1n = 0 + -7m Remove the zero: 3N + 1n = -7m Add '-1n' to each side of the equation. 3N + 1n + -1n = -7m + -1n Combine like terms: 1n + -1n = 0 3N + 0 = -7m + -1n 3N = -7m + -1n Divide each side by '3'. N = -2.333333333m + -0.3333333333n Simplifying N = -2.333333333m + -0.3333333333n
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