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Simplifying 4(2n + 9) + 15n = 30n + -6 Reorder the terms: 4(9 + 2n) + 15n = 30n + -6 (9 * 4 + 2n * 4) + 15n = 30n + -6 (36 + 8n) + 15n = 30n + -6 Combine like terms: 8n + 15n = 23n 36 + 23n = 30n + -6 Reorder the terms: 36 + 23n = -6 + 30n Solving 36 + 23n = -6 + 30n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-30n' to each side of the equation. 36 + 23n + -30n = -6 + 30n + -30n Combine like terms: 23n + -30n = -7n 36 + -7n = -6 + 30n + -30n Combine like terms: 30n + -30n = 0 36 + -7n = -6 + 0 36 + -7n = -6 Add '-36' to each side of the equation. 36 + -36 + -7n = -6 + -36 Combine like terms: 36 + -36 = 0 0 + -7n = -6 + -36 -7n = -6 + -36 Combine like terms: -6 + -36 = -42 -7n = -42 Divide each side by '-7'. n = 6 Simplifying n = 6
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