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Simplifying -6(-5 + -5n) + -2 = -1n + -34 (-5 * -6 + -5n * -6) + -2 = -1n + -34 (30 + 30n) + -2 = -1n + -34 Reorder the terms: 30 + -2 + 30n = -1n + -34 Combine like terms: 30 + -2 = 28 28 + 30n = -1n + -34 Reorder the terms: 28 + 30n = -34 + -1n Solving 28 + 30n = -34 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 28 + 30n + n = -34 + -1n + n Combine like terms: 30n + n = 31n 28 + 31n = -34 + -1n + n Combine like terms: -1n + n = 0 28 + 31n = -34 + 0 28 + 31n = -34 Add '-28' to each side of the equation. 28 + -28 + 31n = -34 + -28 Combine like terms: 28 + -28 = 0 0 + 31n = -34 + -28 31n = -34 + -28 Combine like terms: -34 + -28 = -62 31n = -62 Divide each side by '31'. n = -2 Simplifying n = -2
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