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Simplifying -43 = -7n + -6(2n + 4) Reorder the terms: -43 = -7n + -6(4 + 2n) -43 = -7n + (4 * -6 + 2n * -6) -43 = -7n + (-24 + -12n) Reorder the terms: -43 = -24 + -7n + -12n Combine like terms: -7n + -12n = -19n -43 = -24 + -19n Solving -43 = -24 + -19n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '19n' to each side of the equation. -43 + 19n = -24 + -19n + 19n Combine like terms: -19n + 19n = 0 -43 + 19n = -24 + 0 -43 + 19n = -24 Add '43' to each side of the equation. -43 + 43 + 19n = -24 + 43 Combine like terms: -43 + 43 = 0 0 + 19n = -24 + 43 19n = -24 + 43 Combine like terms: -24 + 43 = 19 19n = 19 Divide each side by '19'. n = 1 Simplifying n = 1
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