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Simplifying 15(10 + n) = -30 + 6n (10 * 15 + n * 15) = -30 + 6n (150 + 15n) = -30 + 6n Solving 150 + 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. 150 + 15n + -6n = -30 + 6n + -6n Combine like terms: 15n + -6n = 9n 150 + 9n = -30 + 6n + -6n Combine like terms: 6n + -6n = 0 150 + 9n = -30 + 0 150 + 9n = -30 Add '-150' to each side of the equation. 150 + -150 + 9n = -30 + -150 Combine like terms: 150 + -150 = 0 0 + 9n = -30 + -150 9n = -30 + -150 Combine like terms: -30 + -150 = -180 9n = -180 Divide each side by '9'. n = -20 Simplifying n = -20
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