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Simplifying 4n + -9 + 2n + -6 + -7n = 6n + -36 Reorder the terms: -9 + -6 + 4n + 2n + -7n = 6n + -36 Combine like terms: -9 + -6 = -15 -15 + 4n + 2n + -7n = 6n + -36 Combine like terms: 4n + 2n = 6n -15 + 6n + -7n = 6n + -36 Combine like terms: 6n + -7n = -1n -15 + -1n = 6n + -36 Reorder the terms: -15 + -1n = -36 + 6n Solving -15 + -1n = -36 + 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 + -1n + -6n = -36 + 6n + -6n Combine like terms: -1n + -6n = -7n -15 + -7n = -36 + 6n + -6n Combine like terms: 6n + -6n = 0 -15 + -7n = -36 + 0 -15 + -7n = -36 Add '15' to each side of the equation. -15 + 15 + -7n = -36 + 15 Combine like terms: -15 + 15 = 0 0 + -7n = -36 + 15 -7n = -36 + 15 Combine like terms: -36 + 15 = -21 -7n = -21 Divide each side by '-7'. n = 3 Simplifying n = 3
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