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Simplifying 1 + 3n = -7 + 4n Solving 1 + 3n = -7 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 1 + 3n + -4n = -7 + 4n + -4n Combine like terms: 3n + -4n = -1n 1 + -1n = -7 + 4n + -4n Combine like terms: 4n + -4n = 0 1 + -1n = -7 + 0 1 + -1n = -7 Add '-1' to each side of the equation. 1 + -1 + -1n = -7 + -1 Combine like terms: 1 + -1 = 0 0 + -1n = -7 + -1 -1n = -7 + -1 Combine like terms: -7 + -1 = -8 -1n = -8 Divide each side by '-1'. n = 8 Simplifying n = 8
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