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Simplifying 7(4 + -1n) = 2(6 + -3n) (4 * 7 + -1n * 7) = 2(6 + -3n) (28 + -7n) = 2(6 + -3n) 28 + -7n = (6 * 2 + -3n * 2) 28 + -7n = (12 + -6n) Solving 28 + -7n = 12 + -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. 28 + -7n + 6n = 12 + -6n + 6n Combine like terms: -7n + 6n = -1n 28 + -1n = 12 + -6n + 6n Combine like terms: -6n + 6n = 0 28 + -1n = 12 + 0 28 + -1n = 12 Add '-28' to each side of the equation. 28 + -28 + -1n = 12 + -28 Combine like terms: 28 + -28 = 0 0 + -1n = 12 + -28 -1n = 12 + -28 Combine like terms: 12 + -28 = -16 -1n = -16 Divide each side by '-1'. n = 16 Simplifying n = 16
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