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Simplifying 7n + 6 = -3(3n + 10) Reorder the terms: 6 + 7n = -3(3n + 10) Reorder the terms: 6 + 7n = -3(10 + 3n) 6 + 7n = (10 * -3 + 3n * -3) 6 + 7n = (-30 + -9n) Solving 6 + 7n = -30 + -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. 6 + 7n + 9n = -30 + -9n + 9n Combine like terms: 7n + 9n = 16n 6 + 16n = -30 + -9n + 9n Combine like terms: -9n + 9n = 0 6 + 16n = -30 + 0 6 + 16n = -30 Add '-6' to each side of the equation. 6 + -6 + 16n = -30 + -6 Combine like terms: 6 + -6 = 0 0 + 16n = -30 + -6 16n = -30 + -6 Combine like terms: -30 + -6 = -36 16n = -36 Divide each side by '16'. n = -2.25 Simplifying n = -2.25
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