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Simplifying 8(n + -8) = -34 + -7n Reorder the terms: 8(-8 + n) = -34 + -7n (-8 * 8 + n * 8) = -34 + -7n (-64 + 8n) = -34 + -7n Solving -64 + 8n = -34 + -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. -64 + 8n + 7n = -34 + -7n + 7n Combine like terms: 8n + 7n = 15n -64 + 15n = -34 + -7n + 7n Combine like terms: -7n + 7n = 0 -64 + 15n = -34 + 0 -64 + 15n = -34 Add '64' to each side of the equation. -64 + 64 + 15n = -34 + 64 Combine like terms: -64 + 64 = 0 0 + 15n = -34 + 64 15n = -34 + 64 Combine like terms: -34 + 64 = 30 15n = 30 Divide each side by '15'. n = 2 Simplifying n = 2
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