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Simplifying 6(-2 + 4n) + 4 = -29 + 3n (-2 * 6 + 4n * 6) + 4 = -29 + 3n (-12 + 24n) + 4 = -29 + 3n Reorder the terms: -12 + 4 + 24n = -29 + 3n Combine like terms: -12 + 4 = -8 -8 + 24n = -29 + 3n Solving -8 + 24n = -29 + 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. -8 + 24n + -3n = -29 + 3n + -3n Combine like terms: 24n + -3n = 21n -8 + 21n = -29 + 3n + -3n Combine like terms: 3n + -3n = 0 -8 + 21n = -29 + 0 -8 + 21n = -29 Add '8' to each side of the equation. -8 + 8 + 21n = -29 + 8 Combine like terms: -8 + 8 = 0 0 + 21n = -29 + 8 21n = -29 + 8 Combine like terms: -29 + 8 = -21 21n = -21 Divide each side by '21'. n = -1 Simplifying n = -1
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