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