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Simplifying 6(n + -2) = 6(-7 + 2n) + 6 Reorder the terms: 6(-2 + n) = 6(-7 + 2n) + 6 (-2 * 6 + n * 6) = 6(-7 + 2n) + 6 (-12 + 6n) = 6(-7 + 2n) + 6 -12 + 6n = (-7 * 6 + 2n * 6) + 6 -12 + 6n = (-42 + 12n) + 6 Reorder the terms: -12 + 6n = -42 + 6 + 12n Combine like terms: -42 + 6 = -36 -12 + 6n = -36 + 12n Solving -12 + 6n = -36 + 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. -12 + 6n + -12n = -36 + 12n + -12n Combine like terms: 6n + -12n = -6n -12 + -6n = -36 + 12n + -12n Combine like terms: 12n + -12n = 0 -12 + -6n = -36 + 0 -12 + -6n = -36 Add '12' to each side of the equation. -12 + 12 + -6n = -36 + 12 Combine like terms: -12 + 12 = 0 0 + -6n = -36 + 12 -6n = -36 + 12 Combine like terms: -36 + 12 = -24 -6n = -24 Divide each side by '-6'. n = 4 Simplifying n = 4
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