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Simplifying -69 = 5(7n + 3) + -7n Reorder the terms: -69 = 5(3 + 7n) + -7n -69 = (3 * 5 + 7n * 5) + -7n -69 = (15 + 35n) + -7n Combine like terms: 35n + -7n = 28n -69 = 15 + 28n Solving -69 = 15 + 28n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-28n' to each side of the equation. -69 + -28n = 15 + 28n + -28n Combine like terms: 28n + -28n = 0 -69 + -28n = 15 + 0 -69 + -28n = 15 Add '69' to each side of the equation. -69 + 69 + -28n = 15 + 69 Combine like terms: -69 + 69 = 0 0 + -28n = 15 + 69 -28n = 15 + 69 Combine like terms: 15 + 69 = 84 -28n = 84 Divide each side by '-28'. n = -3 Simplifying n = -3
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