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Simplifying -10(n + -3) = -2(1 + 7n) Reorder the terms: -10(-3 + n) = -2(1 + 7n) (-3 * -10 + n * -10) = -2(1 + 7n) (30 + -10n) = -2(1 + 7n) 30 + -10n = (1 * -2 + 7n * -2) 30 + -10n = (-2 + -14n) Solving 30 + -10n = -2 + -14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '14n' to each side of the equation. 30 + -10n + 14n = -2 + -14n + 14n Combine like terms: -10n + 14n = 4n 30 + 4n = -2 + -14n + 14n Combine like terms: -14n + 14n = 0 30 + 4n = -2 + 0 30 + 4n = -2 Add '-30' to each side of the equation. 30 + -30 + 4n = -2 + -30 Combine like terms: 30 + -30 = 0 0 + 4n = -2 + -30 4n = -2 + -30 Combine like terms: -2 + -30 = -32 4n = -32 Divide each side by '4'. n = -8 Simplifying n = -8
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