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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 = 2n -6 + 2n = -30 + -9n + 9n Combine like terms: -9n + 9n = 0 -6 + 2n = -30 + 0 -6 + 2n = -30 Add '6' to each side of the equation. -6 + 6 + 2n = -30 + 6 Combine like terms: -6 + 6 = 0 0 + 2n = -30 + 6 2n = -30 + 6 Combine like terms: -30 + 6 = -24 2n = -24 Divide each side by '2'. n = -12 Simplifying n = -12
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