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Simplifying -6n + 12 = 5n + -1 + -10n Reorder the terms: 12 + -6n = 5n + -1 + -10n Reorder the terms: 12 + -6n = -1 + 5n + -10n Combine like terms: 5n + -10n = -5n 12 + -6n = -1 + -5n Solving 12 + -6n = -1 + -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. 12 + -6n + 5n = -1 + -5n + 5n Combine like terms: -6n + 5n = -1n 12 + -1n = -1 + -5n + 5n Combine like terms: -5n + 5n = 0 12 + -1n = -1 + 0 12 + -1n = -1 Add '-12' to each side of the equation. 12 + -12 + -1n = -1 + -12 Combine like terms: 12 + -12 = 0 0 + -1n = -1 + -12 -1n = -1 + -12 Combine like terms: -1 + -12 = -13 -1n = -13 Divide each side by '-1'. n = 13 Simplifying n = 13
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