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Simplifying 126 = 3n + 6(-4n + -7) Reorder the terms: 126 = 3n + 6(-7 + -4n) 126 = 3n + (-7 * 6 + -4n * 6) 126 = 3n + (-42 + -24n) Reorder the terms: 126 = -42 + 3n + -24n Combine like terms: 3n + -24n = -21n 126 = -42 + -21n Solving 126 = -42 + -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. 126 + 21n = -42 + -21n + 21n Combine like terms: -21n + 21n = 0 126 + 21n = -42 + 0 126 + 21n = -42 Add '-126' to each side of the equation. 126 + -126 + 21n = -42 + -126 Combine like terms: 126 + -126 = 0 0 + 21n = -42 + -126 21n = -42 + -126 Combine like terms: -42 + -126 = -168 21n = -168 Divide each side by '21'. n = -8 Simplifying n = -8
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