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Simplifying -3(-3n + 2) + 6n = 114 Reorder the terms: -3(2 + -3n) + 6n = 114 (2 * -3 + -3n * -3) + 6n = 114 (-6 + 9n) + 6n = 114 Combine like terms: 9n + 6n = 15n -6 + 15n = 114 Solving -6 + 15n = 114 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 15n = 114 + 6 Combine like terms: -6 + 6 = 0 0 + 15n = 114 + 6 15n = 114 + 6 Combine like terms: 114 + 6 = 120 15n = 120 Divide each side by '15'. n = 8 Simplifying n = 8
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