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Simplifying 3n + 15 = 6(-2n + -5) Reorder the terms: 15 + 3n = 6(-2n + -5) Reorder the terms: 15 + 3n = 6(-5 + -2n) 15 + 3n = (-5 * 6 + -2n * 6) 15 + 3n = (-30 + -12n) Solving 15 + 3n = -30 + -12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12n' to each side of the equation. 15 + 3n + 12n = -30 + -12n + 12n Combine like terms: 3n + 12n = 15n 15 + 15n = -30 + -12n + 12n Combine like terms: -12n + 12n = 0 15 + 15n = -30 + 0 15 + 15n = -30 Add '-15' to each side of the equation. 15 + -15 + 15n = -30 + -15 Combine like terms: 15 + -15 = 0 0 + 15n = -30 + -15 15n = -30 + -15 Combine like terms: -30 + -15 = -45 15n = -45 Divide each side by '15'. n = -3 Simplifying n = -3
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