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Simplifying 3n + 5 = 7n + -7 Reorder the terms: 5 + 3n = 7n + -7 Reorder the terms: 5 + 3n = -7 + 7n Solving 5 + 3n = -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 + 3n + -7n = -7 + 7n + -7n Combine like terms: 3n + -7n = -4n 5 + -4n = -7 + 7n + -7n Combine like terms: 7n + -7n = 0 5 + -4n = -7 + 0 5 + -4n = -7 Add '-5' to each side of the equation. 5 + -5 + -4n = -7 + -5 Combine like terms: 5 + -5 = 0 0 + -4n = -7 + -5 -4n = -7 + -5 Combine like terms: -7 + -5 = -12 -4n = -12 Divide each side by '-4'. n = 3 Simplifying n = 3
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