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Simplifying -84 = 3(5n + 2) Reorder the terms: -84 = 3(2 + 5n) -84 = (2 * 3 + 5n * 3) -84 = (6 + 15n) Solving -84 = 6 + 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 + -15n = 6 + 15n + -15n Combine like terms: 15n + -15n = 0 -84 + -15n = 6 + 0 -84 + -15n = 6 Add '84' to each side of the equation. -84 + 84 + -15n = 6 + 84 Combine like terms: -84 + 84 = 0 0 + -15n = 6 + 84 -15n = 6 + 84 Combine like terms: 6 + 84 = 90 -15n = 90 Divide each side by '-15'. n = -6 Simplifying n = -6
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