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Simplifying 3(n + -1) + -3(2 + 3n) = -51 Reorder the terms: 3(-1 + n) + -3(2 + 3n) = -51 (-1 * 3 + n * 3) + -3(2 + 3n) = -51 (-3 + 3n) + -3(2 + 3n) = -51 -3 + 3n + (2 * -3 + 3n * -3) = -51 -3 + 3n + (-6 + -9n) = -51 Reorder the terms: -3 + -6 + 3n + -9n = -51 Combine like terms: -3 + -6 = -9 -9 + 3n + -9n = -51 Combine like terms: 3n + -9n = -6n -9 + -6n = -51 Solving -9 + -6n = -51 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -6n = -51 + 9 Combine like terms: -9 + 9 = 0 0 + -6n = -51 + 9 -6n = -51 + 9 Combine like terms: -51 + 9 = -42 -6n = -42 Divide each side by '-6'. n = 7 Simplifying n = 7
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