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Simplifying -2(5n + 1) = 7 + -1n Reorder the terms: -2(1 + 5n) = 7 + -1n (1 * -2 + 5n * -2) = 7 + -1n (-2 + -10n) = 7 + -1n Solving -2 + -10n = 7 + -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. -2 + -10n + n = 7 + -1n + n Combine like terms: -10n + n = -9n -2 + -9n = 7 + -1n + n Combine like terms: -1n + n = 0 -2 + -9n = 7 + 0 -2 + -9n = 7 Add '2' to each side of the equation. -2 + 2 + -9n = 7 + 2 Combine like terms: -2 + 2 = 0 0 + -9n = 7 + 2 -9n = 7 + 2 Combine like terms: 7 + 2 = 9 -9n = 9 Divide each side by '-9'. n = -1 Simplifying n = -1
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