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Simplifying -10n + 1 = -9n + -12 Reorder the terms: 1 + -10n = -9n + -12 Reorder the terms: 1 + -10n = -12 + -9n Solving 1 + -10n = -12 + -9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9n' to each side of the equation. 1 + -10n + 9n = -12 + -9n + 9n Combine like terms: -10n + 9n = -1n 1 + -1n = -12 + -9n + 9n Combine like terms: -9n + 9n = 0 1 + -1n = -12 + 0 1 + -1n = -12 Add '-1' to each side of the equation. 1 + -1 + -1n = -12 + -1 Combine like terms: 1 + -1 = 0 0 + -1n = -12 + -1 -1n = -12 + -1 Combine like terms: -12 + -1 = -13 -1n = -13 Divide each side by '-1'. n = 13 Simplifying n = 13
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