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Simplifying -7(n + -6) + -1(2n + -8) = -10n Reorder the terms: -7(-6 + n) + -1(2n + -8) = -10n (-6 * -7 + n * -7) + -1(2n + -8) = -10n (42 + -7n) + -1(2n + -8) = -10n Reorder the terms: 42 + -7n + -1(-8 + 2n) = -10n 42 + -7n + (-8 * -1 + 2n * -1) = -10n 42 + -7n + (8 + -2n) = -10n Reorder the terms: 42 + 8 + -7n + -2n = -10n Combine like terms: 42 + 8 = 50 50 + -7n + -2n = -10n Combine like terms: -7n + -2n = -9n 50 + -9n = -10n Solving 50 + -9n = -10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '10n' to each side of the equation. 50 + -9n + 10n = -10n + 10n Combine like terms: -9n + 10n = 1n 50 + 1n = -10n + 10n Combine like terms: -10n + 10n = 0 50 + 1n = 0 Add '-50' to each side of the equation. 50 + -50 + 1n = 0 + -50 Combine like terms: 50 + -50 = 0 0 + 1n = 0 + -50 1n = 0 + -50 Combine like terms: 0 + -50 = -50 1n = -50 Divide each side by '1'. n = -50 Simplifying n = -50
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