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Simplifying 7n + -29 = 4n + 7 Reorder the terms: -29 + 7n = 4n + 7 Reorder the terms: -29 + 7n = 7 + 4n Solving -29 + 7n = 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. -29 + 7n + -4n = 7 + 4n + -4n Combine like terms: 7n + -4n = 3n -29 + 3n = 7 + 4n + -4n Combine like terms: 4n + -4n = 0 -29 + 3n = 7 + 0 -29 + 3n = 7 Add '29' to each side of the equation. -29 + 29 + 3n = 7 + 29 Combine like terms: -29 + 29 = 0 0 + 3n = 7 + 29 3n = 7 + 29 Combine like terms: 7 + 29 = 36 3n = 36 Divide each side by '3'. n = 12 Simplifying n = 12
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