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Simplifying 8 + -1n = 3(2n + -4) Reorder the terms: 8 + -1n = 3(-4 + 2n) 8 + -1n = (-4 * 3 + 2n * 3) 8 + -1n = (-12 + 6n) Solving 8 + -1n = -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. 8 + -1n + -6n = -12 + 6n + -6n Combine like terms: -1n + -6n = -7n 8 + -7n = -12 + 6n + -6n Combine like terms: 6n + -6n = 0 8 + -7n = -12 + 0 8 + -7n = -12 Add '-8' to each side of the equation. 8 + -8 + -7n = -12 + -8 Combine like terms: 8 + -8 = 0 0 + -7n = -12 + -8 -7n = -12 + -8 Combine like terms: -12 + -8 = -20 -7n = -20 Divide each side by '-7'. n = 2.857142857 Simplifying n = 2.857142857
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