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Simplifying -20 + -7n = -8 + 3(-3n + -8) Reorder the terms: -20 + -7n = -8 + 3(-8 + -3n) -20 + -7n = -8 + (-8 * 3 + -3n * 3) -20 + -7n = -8 + (-24 + -9n) Combine like terms: -8 + -24 = -32 -20 + -7n = -32 + -9n Solving -20 + -7n = -32 + -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. -20 + -7n + 9n = -32 + -9n + 9n Combine like terms: -7n + 9n = 2n -20 + 2n = -32 + -9n + 9n Combine like terms: -9n + 9n = 0 -20 + 2n = -32 + 0 -20 + 2n = -32 Add '20' to each side of the equation. -20 + 20 + 2n = -32 + 20 Combine like terms: -20 + 20 = 0 0 + 2n = -32 + 20 2n = -32 + 20 Combine like terms: -32 + 20 = -12 2n = -12 Divide each side by '2'. n = -6 Simplifying n = -6
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