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Simplifying -6(n + -7) = 3(-4n + 4) Reorder the terms: -6(-7 + n) = 3(-4n + 4) (-7 * -6 + n * -6) = 3(-4n + 4) (42 + -6n) = 3(-4n + 4) Reorder the terms: 42 + -6n = 3(4 + -4n) 42 + -6n = (4 * 3 + -4n * 3) 42 + -6n = (12 + -12n) Solving 42 + -6n = 12 + -12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12n' to each side of the equation. 42 + -6n + 12n = 12 + -12n + 12n Combine like terms: -6n + 12n = 6n 42 + 6n = 12 + -12n + 12n Combine like terms: -12n + 12n = 0 42 + 6n = 12 + 0 42 + 6n = 12 Add '-42' to each side of the equation. 42 + -42 + 6n = 12 + -42 Combine like terms: 42 + -42 = 0 0 + 6n = 12 + -42 6n = 12 + -42 Combine like terms: 12 + -42 = -30 6n = -30 Divide each side by '6'. n = -5 Simplifying n = -5
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