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Simplifying 6n + -5 = -7 + 7n Reorder the terms: -5 + 6n = -7 + 7n Solving -5 + 6n = -7 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -5 + 6n + -7n = -7 + 7n + -7n Combine like terms: 6n + -7n = -1n -5 + -1n = -7 + 7n + -7n Combine like terms: 7n + -7n = 0 -5 + -1n = -7 + 0 -5 + -1n = -7 Add '5' to each side of the equation. -5 + 5 + -1n = -7 + 5 Combine like terms: -5 + 5 = 0 0 + -1n = -7 + 5 -1n = -7 + 5 Combine like terms: -7 + 5 = -2 -1n = -2 Divide each side by '-1'. n = 2 Simplifying n = 2
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