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Simplifying -5n + -35 = 5(n + 7) Reorder the terms: -35 + -5n = 5(n + 7) Reorder the terms: -35 + -5n = 5(7 + n) -35 + -5n = (7 * 5 + n * 5) -35 + -5n = (35 + 5n) Solving -35 + -5n = 35 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -35 + -5n + -5n = 35 + 5n + -5n Combine like terms: -5n + -5n = -10n -35 + -10n = 35 + 5n + -5n Combine like terms: 5n + -5n = 0 -35 + -10n = 35 + 0 -35 + -10n = 35 Add '35' to each side of the equation. -35 + 35 + -10n = 35 + 35 Combine like terms: -35 + 35 = 0 0 + -10n = 35 + 35 -10n = 35 + 35 Combine like terms: 35 + 35 = 70 -10n = 70 Divide each side by '-10'. n = -7 Simplifying n = -7
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