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Simplifying 84 = 3 + -3(-5n + 3) Reorder the terms: 84 = 3 + -3(3 + -5n) 84 = 3 + (3 * -3 + -5n * -3) 84 = 3 + (-9 + 15n) Combine like terms: 3 + -9 = -6 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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