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Simplifying -2(-7n + 1) = 5n + -10 Reorder the terms: -2(1 + -7n) = 5n + -10 (1 * -2 + -7n * -2) = 5n + -10 (-2 + 14n) = 5n + -10 Reorder the terms: -2 + 14n = -10 + 5n Solving -2 + 14n = -10 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -2 + 14n + -5n = -10 + 5n + -5n Combine like terms: 14n + -5n = 9n -2 + 9n = -10 + 5n + -5n Combine like terms: 5n + -5n = 0 -2 + 9n = -10 + 0 -2 + 9n = -10 Add '2' to each side of the equation. -2 + 2 + 9n = -10 + 2 Combine like terms: -2 + 2 = 0 0 + 9n = -10 + 2 9n = -10 + 2 Combine like terms: -10 + 2 = -8 9n = -8 Divide each side by '9'. n = -0.8888888889 Simplifying n = -0.8888888889
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