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Simplifying -1(3 + 8n) = 39 + -1n (3 * -1 + 8n * -1) = 39 + -1n (-3 + -8n) = 39 + -1n Solving -3 + -8n = 39 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -3 + -8n + n = 39 + -1n + n Combine like terms: -8n + n = -7n -3 + -7n = 39 + -1n + n Combine like terms: -1n + n = 0 -3 + -7n = 39 + 0 -3 + -7n = 39 Add '3' to each side of the equation. -3 + 3 + -7n = 39 + 3 Combine like terms: -3 + 3 = 0 0 + -7n = 39 + 3 -7n = 39 + 3 Combine like terms: 39 + 3 = 42 -7n = 42 Divide each side by '-7'. n = -6 Simplifying n = -6
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