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Simplifying -5n + 7 + -1n = 12 + -1n Reorder the terms: 7 + -5n + -1n = 12 + -1n Combine like terms: -5n + -1n = -6n 7 + -6n = 12 + -1n Solving 7 + -6n = 12 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 7 + -6n + n = 12 + -1n + n Combine like terms: -6n + n = -5n 7 + -5n = 12 + -1n + n Combine like terms: -1n + n = 0 7 + -5n = 12 + 0 7 + -5n = 12 Add '-7' to each side of the equation. 7 + -7 + -5n = 12 + -7 Combine like terms: 7 + -7 = 0 0 + -5n = 12 + -7 -5n = 12 + -7 Combine like terms: 12 + -7 = 5 -5n = 5 Divide each side by '-5'. n = -1 Simplifying n = -1
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