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Simplifying 1 + 3n = 7n + -7 Reorder the terms: 1 + 3n = -7 + 7n Solving 1 + 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. 1 + 3n + -7n = -7 + 7n + -7n Combine like terms: 3n + -7n = -4n 1 + -4n = -7 + 7n + -7n Combine like terms: 7n + -7n = 0 1 + -4n = -7 + 0 1 + -4n = -7 Add '-1' to each side of the equation. 1 + -1 + -4n = -7 + -1 Combine like terms: 1 + -1 = 0 0 + -4n = -7 + -1 -4n = -7 + -1 Combine like terms: -7 + -1 = -8 -4n = -8 Divide each side by '-4'. n = 2 Simplifying n = 2
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