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Simplifying n + 3 + n + 4 = n + 7 + 2n + 7 Reorder the terms: 3 + 4 + n + n = n + 7 + 2n + 7 Combine like terms: 3 + 4 = 7 7 + n + n = n + 7 + 2n + 7 Combine like terms: n + n = 2n 7 + 2n = n + 7 + 2n + 7 Reorder the terms: 7 + 2n = 7 + 7 + n + 2n Combine like terms: 7 + 7 = 14 7 + 2n = 14 + n + 2n Combine like terms: n + 2n = 3n 7 + 2n = 14 + 3n Solving 7 + 2n = 14 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 7 + 2n + -3n = 14 + 3n + -3n Combine like terms: 2n + -3n = -1n 7 + -1n = 14 + 3n + -3n Combine like terms: 3n + -3n = 0 7 + -1n = 14 + 0 7 + -1n = 14 Add '-7' to each side of the equation. 7 + -7 + -1n = 14 + -7 Combine like terms: 7 + -7 = 0 0 + -1n = 14 + -7 -1n = 14 + -7 Combine like terms: 14 + -7 = 7 -1n = 7 Divide each side by '-1'. n = -7 Simplifying n = -7
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