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Simplifying 6n + -29 = 3n + -7 Reorder the terms: -29 + 6n = 3n + -7 Reorder the terms: -29 + 6n = -7 + 3n Solving -29 + 6n = -7 + 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. -29 + 6n + -3n = -7 + 3n + -3n Combine like terms: 6n + -3n = 3n -29 + 3n = -7 + 3n + -3n Combine like terms: 3n + -3n = 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 = 22 3n = 22 Divide each side by '3'. n = 7.333333333 Simplifying n = 7.333333333
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