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Simplifying -3 + -3(5n + -6) = -30 + -6n Reorder the terms: -3 + -3(-6 + 5n) = -30 + -6n -3 + (-6 * -3 + 5n * -3) = -30 + -6n -3 + (18 + -15n) = -30 + -6n Combine like terms: -3 + 18 = 15 15 + -15n = -30 + -6n Solving 15 + -15n = -30 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. 15 + -15n + 6n = -30 + -6n + 6n Combine like terms: -15n + 6n = -9n 15 + -9n = -30 + -6n + 6n Combine like terms: -6n + 6n = 0 15 + -9n = -30 + 0 15 + -9n = -30 Add '-15' to each side of the equation. 15 + -15 + -9n = -30 + -15 Combine like terms: 15 + -15 = 0 0 + -9n = -30 + -15 -9n = -30 + -15 Combine like terms: -30 + -15 = -45 -9n = -45 Divide each side by '-9'. n = 5 Simplifying n = 5
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