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Simplifying 6(1 + -1n) + -8 = -2(n + 8) + 3n (1 * 6 + -1n * 6) + -8 = -2(n + 8) + 3n (6 + -6n) + -8 = -2(n + 8) + 3n Reorder the terms: 6 + -8 + -6n = -2(n + 8) + 3n Combine like terms: 6 + -8 = -2 -2 + -6n = -2(n + 8) + 3n Reorder the terms: -2 + -6n = -2(8 + n) + 3n -2 + -6n = (8 * -2 + n * -2) + 3n -2 + -6n = (-16 + -2n) + 3n Combine like terms: -2n + 3n = 1n -2 + -6n = -16 + 1n Solving -2 + -6n = -16 + 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. -2 + -6n + -1n = -16 + 1n + -1n Combine like terms: -6n + -1n = -7n -2 + -7n = -16 + 1n + -1n Combine like terms: 1n + -1n = 0 -2 + -7n = -16 + 0 -2 + -7n = -16 Add '2' to each side of the equation. -2 + 2 + -7n = -16 + 2 Combine like terms: -2 + 2 = 0 0 + -7n = -16 + 2 -7n = -16 + 2 Combine like terms: -16 + 2 = -14 -7n = -14 Divide each side by '-7'. n = 2 Simplifying n = 2
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