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Simplifying -35 + 6n = n + 3(5n + 5) Reorder the terms: -35 + 6n = n + 3(5 + 5n) -35 + 6n = n + (5 * 3 + 5n * 3) -35 + 6n = n + (15 + 15n) Reorder the terms: -35 + 6n = 15 + n + 15n Combine like terms: n + 15n = 16n -35 + 6n = 15 + 16n Solving -35 + 6n = 15 + 16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16n' to each side of the equation. -35 + 6n + -16n = 15 + 16n + -16n Combine like terms: 6n + -16n = -10n -35 + -10n = 15 + 16n + -16n Combine like terms: 16n + -16n = 0 -35 + -10n = 15 + 0 -35 + -10n = 15 Add '35' to each side of the equation. -35 + 35 + -10n = 15 + 35 Combine like terms: -35 + 35 = 0 0 + -10n = 15 + 35 -10n = 15 + 35 Combine like terms: 15 + 35 = 50 -10n = 50 Divide each side by '-10'. n = -5 Simplifying n = -5
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