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Simplifying 3(5n + 5) + -6 = 2(3n + -6) Reorder the terms: 3(5 + 5n) + -6 = 2(3n + -6) (5 * 3 + 5n * 3) + -6 = 2(3n + -6) (15 + 15n) + -6 = 2(3n + -6) Reorder the terms: 15 + -6 + 15n = 2(3n + -6) Combine like terms: 15 + -6 = 9 9 + 15n = 2(3n + -6) Reorder the terms: 9 + 15n = 2(-6 + 3n) 9 + 15n = (-6 * 2 + 3n * 2) 9 + 15n = (-12 + 6n) Solving 9 + 15n = -12 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 9 + 15n + -6n = -12 + 6n + -6n Combine like terms: 15n + -6n = 9n 9 + 9n = -12 + 6n + -6n Combine like terms: 6n + -6n = 0 9 + 9n = -12 + 0 9 + 9n = -12 Add '-9' to each side of the equation. 9 + -9 + 9n = -12 + -9 Combine like terms: 9 + -9 = 0 0 + 9n = -12 + -9 9n = -12 + -9 Combine like terms: -12 + -9 = -21 9n = -21 Divide each side by '9'. n = -2.333333333 Simplifying n = -2.333333333
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