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Simplifying 8(2 + -2n) + -8 = 30 + 6n (2 * 8 + -2n * 8) + -8 = 30 + 6n (16 + -16n) + -8 = 30 + 6n Reorder the terms: 16 + -8 + -16n = 30 + 6n Combine like terms: 16 + -8 = 8 8 + -16n = 30 + 6n Solving 8 + -16n = 30 + 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 + -16n + -6n = 30 + 6n + -6n Combine like terms: -16n + -6n = -22n 8 + -22n = 30 + 6n + -6n Combine like terms: 6n + -6n = 0 8 + -22n = 30 + 0 8 + -22n = 30 Add '-8' to each side of the equation. 8 + -8 + -22n = 30 + -8 Combine like terms: 8 + -8 = 0 0 + -22n = 30 + -8 -22n = 30 + -8 Combine like terms: 30 + -8 = 22 -22n = 22 Divide each side by '-22'. n = -1 Simplifying n = -1
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