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Simplifying 10(-1n + -5) + 7n = -9n + 1 Reorder the terms: 10(-5 + -1n) + 7n = -9n + 1 (-5 * 10 + -1n * 10) + 7n = -9n + 1 (-50 + -10n) + 7n = -9n + 1 Combine like terms: -10n + 7n = -3n -50 + -3n = -9n + 1 Reorder the terms: -50 + -3n = 1 + -9n Solving -50 + -3n = 1 + -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. -50 + -3n + 9n = 1 + -9n + 9n Combine like terms: -3n + 9n = 6n -50 + 6n = 1 + -9n + 9n Combine like terms: -9n + 9n = 0 -50 + 6n = 1 + 0 -50 + 6n = 1 Add '50' to each side of the equation. -50 + 50 + 6n = 1 + 50 Combine like terms: -50 + 50 = 0 0 + 6n = 1 + 50 6n = 1 + 50 Combine like terms: 1 + 50 = 51 6n = 51 Divide each side by '6'. n = 8.5 Simplifying n = 8.5
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