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Simplifying -39 + 7n = -6(-8 + -6n) -39 + 7n = (-8 * -6 + -6n * -6) -39 + 7n = (48 + 36n) Solving -39 + 7n = 48 + 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. -39 + 7n + -36n = 48 + 36n + -36n Combine like terms: 7n + -36n = -29n -39 + -29n = 48 + 36n + -36n Combine like terms: 36n + -36n = 0 -39 + -29n = 48 + 0 -39 + -29n = 48 Add '39' to each side of the equation. -39 + 39 + -29n = 48 + 39 Combine like terms: -39 + 39 = 0 0 + -29n = 48 + 39 -29n = 48 + 39 Combine like terms: 48 + 39 = 87 -29n = 87 Divide each side by '-29'. n = -3 Simplifying n = -3
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