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Simplifying 6(n + -5) = 2(n + -7) Reorder the terms: 6(-5 + n) = 2(n + -7) (-5 * 6 + n * 6) = 2(n + -7) (-30 + 6n) = 2(n + -7) Reorder the terms: -30 + 6n = 2(-7 + n) -30 + 6n = (-7 * 2 + n * 2) -30 + 6n = (-14 + 2n) Solving -30 + 6n = -14 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -30 + 6n + -2n = -14 + 2n + -2n Combine like terms: 6n + -2n = 4n -30 + 4n = -14 + 2n + -2n Combine like terms: 2n + -2n = 0 -30 + 4n = -14 + 0 -30 + 4n = -14 Add '30' to each side of the equation. -30 + 30 + 4n = -14 + 30 Combine like terms: -30 + 30 = 0 0 + 4n = -14 + 30 4n = -14 + 30 Combine like terms: -14 + 30 = 16 4n = 16 Divide each side by '4'. n = 4 Simplifying n = 4
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