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Simplifying -5(n + -7) = -10(n + 6) Reorder the terms: -5(-7 + n) = -10(n + 6) (-7 * -5 + n * -5) = -10(n + 6) (35 + -5n) = -10(n + 6) Reorder the terms: 35 + -5n = -10(6 + n) 35 + -5n = (6 * -10 + n * -10) 35 + -5n = (-60 + -10n) Solving 35 + -5n = -60 + -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. 35 + -5n + 10n = -60 + -10n + 10n Combine like terms: -5n + 10n = 5n 35 + 5n = -60 + -10n + 10n Combine like terms: -10n + 10n = 0 35 + 5n = -60 + 0 35 + 5n = -60 Add '-35' to each side of the equation. 35 + -35 + 5n = -60 + -35 Combine like terms: 35 + -35 = 0 0 + 5n = -60 + -35 5n = -60 + -35 Combine like terms: -60 + -35 = -95 5n = -95 Divide each side by '5'. n = -19 Simplifying n = -19
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