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Simplifying 6n + 30 = 10n + -42 Reorder the terms: 30 + 6n = 10n + -42 Reorder the terms: 30 + 6n = -42 + 10n Solving 30 + 6n = -42 + 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. 30 + 6n + -10n = -42 + 10n + -10n Combine like terms: 6n + -10n = -4n 30 + -4n = -42 + 10n + -10n Combine like terms: 10n + -10n = 0 30 + -4n = -42 + 0 30 + -4n = -42 Add '-30' to each side of the equation. 30 + -30 + -4n = -42 + -30 Combine like terms: 30 + -30 = 0 0 + -4n = -42 + -30 -4n = -42 + -30 Combine like terms: -42 + -30 = -72 -4n = -72 Divide each side by '-4'. n = 18 Simplifying n = 18
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