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Simplifying 7 = 5n + 5 + -4n Reorder the terms: 7 = 5 + 5n + -4n Combine like terms: 5n + -4n = 1n 7 = 5 + 1n Solving 7 = 5 + 1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 7 + -1n = 5 + 1n + -1n Combine like terms: 1n + -1n = 0 7 + -1n = 5 + 0 7 + -1n = 5 Add '-7' to each side of the equation. 7 + -7 + -1n = 5 + -7 Combine like terms: 7 + -7 = 0 0 + -1n = 5 + -7 -1n = 5 + -7 Combine like terms: 5 + -7 = -2 -1n = -2 Divide each side by '-1'. n = 2 Simplifying n = 2
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