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Simplifying 5 + 5(3n + -2) = -7(3n + -4) + -5 Reorder the terms: 5 + 5(-2 + 3n) = -7(3n + -4) + -5 5 + (-2 * 5 + 3n * 5) = -7(3n + -4) + -5 5 + (-10 + 15n) = -7(3n + -4) + -5 Combine like terms: 5 + -10 = -5 -5 + 15n = -7(3n + -4) + -5 Reorder the terms: -5 + 15n = -7(-4 + 3n) + -5 -5 + 15n = (-4 * -7 + 3n * -7) + -5 -5 + 15n = (28 + -21n) + -5 Reorder the terms: -5 + 15n = 28 + -5 + -21n Combine like terms: 28 + -5 = 23 -5 + 15n = 23 + -21n Solving -5 + 15n = 23 + -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. -5 + 15n + 21n = 23 + -21n + 21n Combine like terms: 15n + 21n = 36n -5 + 36n = 23 + -21n + 21n Combine like terms: -21n + 21n = 0 -5 + 36n = 23 + 0 -5 + 36n = 23 Add '5' to each side of the equation. -5 + 5 + 36n = 23 + 5 Combine like terms: -5 + 5 = 0 0 + 36n = 23 + 5 36n = 23 + 5 Combine like terms: 23 + 5 = 28 36n = 28 Divide each side by '36'. n = 0.7777777778 Simplifying n = 0.7777777778
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