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Simplifying -6(5n + 5) = 1 + n Reorder the terms: -6(5 + 5n) = 1 + n (5 * -6 + 5n * -6) = 1 + n (-30 + -30n) = 1 + n Solving -30 + -30n = 1 + n 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. -30 + -30n + -1n = 1 + n + -1n Combine like terms: -30n + -1n = -31n -30 + -31n = 1 + n + -1n Combine like terms: n + -1n = 0 -30 + -31n = 1 + 0 -30 + -31n = 1 Add '30' to each side of the equation. -30 + 30 + -31n = 1 + 30 Combine like terms: -30 + 30 = 0 0 + -31n = 1 + 30 -31n = 1 + 30 Combine like terms: 1 + 30 = 31 -31n = 31 Divide each side by '-31'. n = -1 Simplifying n = -1
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