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Simplifying 7 + 5n = 6n + -1 + 1 Reorder the terms: 7 + 5n = -1 + 1 + 6n Combine like terms: -1 + 1 = 0 7 + 5n = 0 + 6n 7 + 5n = 6n Solving 7 + 5n = 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 7 + 5n + -6n = 6n + -6n Combine like terms: 5n + -6n = -1n 7 + -1n = 6n + -6n Combine like terms: 6n + -6n = 0 7 + -1n = 0 Add '-7' to each side of the equation. 7 + -7 + -1n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1n = 0 + -7 -1n = 0 + -7 Combine like terms: 0 + -7 = -7 -1n = -7 Divide each side by '-1'. n = 7 Simplifying n = 7
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