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Simplifying -6 + -3(5n + 7) = 7(3n + -3) + 6 Reorder the terms: -6 + -3(7 + 5n) = 7(3n + -3) + 6 -6 + (7 * -3 + 5n * -3) = 7(3n + -3) + 6 -6 + (-21 + -15n) = 7(3n + -3) + 6 Combine like terms: -6 + -21 = -27 -27 + -15n = 7(3n + -3) + 6 Reorder the terms: -27 + -15n = 7(-3 + 3n) + 6 -27 + -15n = (-3 * 7 + 3n * 7) + 6 -27 + -15n = (-21 + 21n) + 6 Reorder the terms: -27 + -15n = -21 + 6 + 21n Combine like terms: -21 + 6 = -15 -27 + -15n = -15 + 21n Solving -27 + -15n = -15 + 21n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-21n' to each side of the equation. -27 + -15n + -21n = -15 + 21n + -21n Combine like terms: -15n + -21n = -36n -27 + -36n = -15 + 21n + -21n Combine like terms: 21n + -21n = 0 -27 + -36n = -15 + 0 -27 + -36n = -15 Add '27' to each side of the equation. -27 + 27 + -36n = -15 + 27 Combine like terms: -27 + 27 = 0 0 + -36n = -15 + 27 -36n = -15 + 27 Combine like terms: -15 + 27 = 12 -36n = 12 Divide each side by '-36'. n = -0.3333333333 Simplifying n = -0.3333333333
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