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Simplifying -10n + 8 = -6n + -12 Reorder the terms: 8 + -10n = -6n + -12 Reorder the terms: 8 + -10n = -12 + -6n Solving 8 + -10n = -12 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. 8 + -10n + 6n = -12 + -6n + 6n Combine like terms: -10n + 6n = -4n 8 + -4n = -12 + -6n + 6n Combine like terms: -6n + 6n = 0 8 + -4n = -12 + 0 8 + -4n = -12 Add '-8' to each side of the equation. 8 + -8 + -4n = -12 + -8 Combine like terms: 8 + -8 = 0 0 + -4n = -12 + -8 -4n = -12 + -8 Combine like terms: -12 + -8 = -20 -4n = -20 Divide each side by '-4'. n = 5 Simplifying n = 5
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