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Simplifying -4 + 2(2n + 6) = -3(-7n + -1) + 6 Reorder the terms: -4 + 2(6 + 2n) = -3(-7n + -1) + 6 -4 + (6 * 2 + 2n * 2) = -3(-7n + -1) + 6 -4 + (12 + 4n) = -3(-7n + -1) + 6 Combine like terms: -4 + 12 = 8 8 + 4n = -3(-7n + -1) + 6 Reorder the terms: 8 + 4n = -3(-1 + -7n) + 6 8 + 4n = (-1 * -3 + -7n * -3) + 6 8 + 4n = (3 + 21n) + 6 Reorder the terms: 8 + 4n = 3 + 6 + 21n Combine like terms: 3 + 6 = 9 8 + 4n = 9 + 21n Solving 8 + 4n = 9 + 21n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-21n' to each side of the equation. 8 + 4n + -21n = 9 + 21n + -21n Combine like terms: 4n + -21n = -17n 8 + -17n = 9 + 21n + -21n Combine like terms: 21n + -21n = 0 8 + -17n = 9 + 0 8 + -17n = 9 Add '-8' to each side of the equation. 8 + -8 + -17n = 9 + -8 Combine like terms: 8 + -8 = 0 0 + -17n = 9 + -8 -17n = 9 + -8 Combine like terms: 9 + -8 = 1 -17n = 1 Divide each side by '-17'. n = -0.05882352941 Simplifying n = -0.05882352941
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