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Simplifying -1(5 + -10n) = 5(3n + -7) (5 * -1 + -10n * -1) = 5(3n + -7) (-5 + 10n) = 5(3n + -7) Reorder the terms: -5 + 10n = 5(-7 + 3n) -5 + 10n = (-7 * 5 + 3n * 5) -5 + 10n = (-35 + 15n) Solving -5 + 10n = -35 + 15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15n' to each side of the equation. -5 + 10n + -15n = -35 + 15n + -15n Combine like terms: 10n + -15n = -5n -5 + -5n = -35 + 15n + -15n Combine like terms: 15n + -15n = 0 -5 + -5n = -35 + 0 -5 + -5n = -35 Add '5' to each side of the equation. -5 + 5 + -5n = -35 + 5 Combine like terms: -5 + 5 = 0 0 + -5n = -35 + 5 -5n = -35 + 5 Combine like terms: -35 + 5 = -30 -5n = -30 Divide each side by '-5'. n = 6 Simplifying n = 6
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