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Simplifying 7n + -39 = -6n + 7(n + -3) Reorder the terms: -39 + 7n = -6n + 7(n + -3) Reorder the terms: -39 + 7n = -6n + 7(-3 + n) -39 + 7n = -6n + (-3 * 7 + n * 7) -39 + 7n = -6n + (-21 + 7n) Reorder the terms: -39 + 7n = -21 + -6n + 7n Combine like terms: -6n + 7n = 1n -39 + 7n = -21 + 1n Solving -39 + 7n = -21 + 1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -39 + 7n + -1n = -21 + 1n + -1n Combine like terms: 7n + -1n = 6n -39 + 6n = -21 + 1n + -1n Combine like terms: 1n + -1n = 0 -39 + 6n = -21 + 0 -39 + 6n = -21 Add '39' to each side of the equation. -39 + 39 + 6n = -21 + 39 Combine like terms: -39 + 39 = 0 0 + 6n = -21 + 39 6n = -21 + 39 Combine like terms: -21 + 39 = 18 6n = 18 Divide each side by '6'. n = 3 Simplifying n = 3
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