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Simplifying -27 = -3n + 10n + 1 Reorder the terms: -27 = 1 + -3n + 10n Combine like terms: -3n + 10n = 7n -27 = 1 + 7n Solving -27 = 1 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -27 + -7n = 1 + 7n + -7n Combine like terms: 7n + -7n = 0 -27 + -7n = 1 + 0 -27 + -7n = 1 Add '27' to each side of the equation. -27 + 27 + -7n = 1 + 27 Combine like terms: -27 + 27 = 0 0 + -7n = 1 + 27 -7n = 1 + 27 Combine like terms: 1 + 27 = 28 -7n = 28 Divide each side by '-7'. n = -4 Simplifying n = -4
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