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Simplifying -5(3n + 7) + 5(n + -5) = 0 Reorder the terms: -5(7 + 3n) + 5(n + -5) = 0 (7 * -5 + 3n * -5) + 5(n + -5) = 0 (-35 + -15n) + 5(n + -5) = 0 Reorder the terms: -35 + -15n + 5(-5 + n) = 0 -35 + -15n + (-5 * 5 + n * 5) = 0 -35 + -15n + (-25 + 5n) = 0 Reorder the terms: -35 + -25 + -15n + 5n = 0 Combine like terms: -35 + -25 = -60 -60 + -15n + 5n = 0 Combine like terms: -15n + 5n = -10n -60 + -10n = 0 Solving -60 + -10n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '60' to each side of the equation. -60 + 60 + -10n = 0 + 60 Combine like terms: -60 + 60 = 0 0 + -10n = 0 + 60 -10n = 0 + 60 Combine like terms: 0 + 60 = 60 -10n = 60 Divide each side by '-10'. n = -6 Simplifying n = -6
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