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Simplifying -5(5 + 3n) = 39 + -7n (5 * -5 + 3n * -5) = 39 + -7n (-25 + -15n) = 39 + -7n Solving -25 + -15n = 39 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. -25 + -15n + 7n = 39 + -7n + 7n Combine like terms: -15n + 7n = -8n -25 + -8n = 39 + -7n + 7n Combine like terms: -7n + 7n = 0 -25 + -8n = 39 + 0 -25 + -8n = 39 Add '25' to each side of the equation. -25 + 25 + -8n = 39 + 25 Combine like terms: -25 + 25 = 0 0 + -8n = 39 + 25 -8n = 39 + 25 Combine like terms: 39 + 25 = 64 -8n = 64 Divide each side by '-8'. n = -8 Simplifying n = -8
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