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Simplifying 14n + -69 = 5(7n + 3) Reorder the terms: -69 + 14n = 5(7n + 3) Reorder the terms: -69 + 14n = 5(3 + 7n) -69 + 14n = (3 * 5 + 7n * 5) -69 + 14n = (15 + 35n) Solving -69 + 14n = 15 + 35n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-35n' to each side of the equation. -69 + 14n + -35n = 15 + 35n + -35n Combine like terms: 14n + -35n = -21n -69 + -21n = 15 + 35n + -35n Combine like terms: 35n + -35n = 0 -69 + -21n = 15 + 0 -69 + -21n = 15 Add '69' to each side of the equation. -69 + 69 + -21n = 15 + 69 Combine like terms: -69 + 69 = 0 0 + -21n = 15 + 69 -21n = 15 + 69 Combine like terms: 15 + 69 = 84 -21n = 84 Divide each side by '-21'. n = -4 Simplifying n = -4
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