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Simplifying -7(4n + 12) + 7n = 5(12 + 3n) Reorder the terms: -7(12 + 4n) + 7n = 5(12 + 3n) (12 * -7 + 4n * -7) + 7n = 5(12 + 3n) (-84 + -28n) + 7n = 5(12 + 3n) Combine like terms: -28n + 7n = -21n -84 + -21n = 5(12 + 3n) -84 + -21n = (12 * 5 + 3n * 5) -84 + -21n = (60 + 15n) Solving -84 + -21n = 60 + 15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15n' to each side of the equation. -84 + -21n + -15n = 60 + 15n + -15n Combine like terms: -21n + -15n = -36n -84 + -36n = 60 + 15n + -15n Combine like terms: 15n + -15n = 0 -84 + -36n = 60 + 0 -84 + -36n = 60 Add '84' to each side of the equation. -84 + 84 + -36n = 60 + 84 Combine like terms: -84 + 84 = 0 0 + -36n = 60 + 84 -36n = 60 + 84 Combine like terms: 60 + 84 = 144 -36n = 144 Divide each side by '-36'. n = -4 Simplifying n = -4
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