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Simplifying 6(2n + -4) = 7(n + -7) Reorder the terms: 6(-4 + 2n) = 7(n + -7) (-4 * 6 + 2n * 6) = 7(n + -7) (-24 + 12n) = 7(n + -7) Reorder the terms: -24 + 12n = 7(-7 + n) -24 + 12n = (-7 * 7 + n * 7) -24 + 12n = (-49 + 7n) Solving -24 + 12n = -49 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -24 + 12n + -7n = -49 + 7n + -7n Combine like terms: 12n + -7n = 5n -24 + 5n = -49 + 7n + -7n Combine like terms: 7n + -7n = 0 -24 + 5n = -49 + 0 -24 + 5n = -49 Add '24' to each side of the equation. -24 + 24 + 5n = -49 + 24 Combine like terms: -24 + 24 = 0 0 + 5n = -49 + 24 5n = -49 + 24 Combine like terms: -49 + 24 = -25 5n = -25 Divide each side by '5'. n = -5 Simplifying n = -5
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