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Simplifying -3(n + -6) + 3 = -2(7n + 4) + -4 Reorder the terms: -3(-6 + n) + 3 = -2(7n + 4) + -4 (-6 * -3 + n * -3) + 3 = -2(7n + 4) + -4 (18 + -3n) + 3 = -2(7n + 4) + -4 Reorder the terms: 18 + 3 + -3n = -2(7n + 4) + -4 Combine like terms: 18 + 3 = 21 21 + -3n = -2(7n + 4) + -4 Reorder the terms: 21 + -3n = -2(4 + 7n) + -4 21 + -3n = (4 * -2 + 7n * -2) + -4 21 + -3n = (-8 + -14n) + -4 Reorder the terms: 21 + -3n = -8 + -4 + -14n Combine like terms: -8 + -4 = -12 21 + -3n = -12 + -14n Solving 21 + -3n = -12 + -14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '14n' to each side of the equation. 21 + -3n + 14n = -12 + -14n + 14n Combine like terms: -3n + 14n = 11n 21 + 11n = -12 + -14n + 14n Combine like terms: -14n + 14n = 0 21 + 11n = -12 + 0 21 + 11n = -12 Add '-21' to each side of the equation. 21 + -21 + 11n = -12 + -21 Combine like terms: 21 + -21 = 0 0 + 11n = -12 + -21 11n = -12 + -21 Combine like terms: -12 + -21 = -33 11n = -33 Divide each side by '11'. n = -3 Simplifying n = -3
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