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Simplifying -19 + 7n = -4(-6 + 9n) -19 + 7n = (-6 * -4 + 9n * -4) -19 + 7n = (24 + -36n) Solving -19 + 7n = 24 + -36n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '36n' to each side of the equation. -19 + 7n + 36n = 24 + -36n + 36n Combine like terms: 7n + 36n = 43n -19 + 43n = 24 + -36n + 36n Combine like terms: -36n + 36n = 0 -19 + 43n = 24 + 0 -19 + 43n = 24 Add '19' to each side of the equation. -19 + 19 + 43n = 24 + 19 Combine like terms: -19 + 19 = 0 0 + 43n = 24 + 19 43n = 24 + 19 Combine like terms: 24 + 19 = 43 43n = 43 Divide each side by '43'. n = 1 Simplifying n = 1
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