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Simplifying -39 + -7n = -5 + 2(-8n + -8) Reorder the terms: -39 + -7n = -5 + 2(-8 + -8n) -39 + -7n = -5 + (-8 * 2 + -8n * 2) -39 + -7n = -5 + (-16 + -16n) Combine like terms: -5 + -16 = -21 -39 + -7n = -21 + -16n Solving -39 + -7n = -21 + -16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '16n' to each side of the equation. -39 + -7n + 16n = -21 + -16n + 16n Combine like terms: -7n + 16n = 9n -39 + 9n = -21 + -16n + 16n Combine like terms: -16n + 16n = 0 -39 + 9n = -21 + 0 -39 + 9n = -21 Add '39' to each side of the equation. -39 + 39 + 9n = -21 + 39 Combine like terms: -39 + 39 = 0 0 + 9n = -21 + 39 9n = -21 + 39 Combine like terms: -21 + 39 = 18 9n = 18 Divide each side by '9'. n = 2 Simplifying n = 2
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