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Simplifying 6(-7n + -5) = -30 + 8n Reorder the terms: 6(-5 + -7n) = -30 + 8n (-5 * 6 + -7n * 6) = -30 + 8n (-30 + -42n) = -30 + 8n Add '30' to each side of the equation. -30 + 30 + -42n = -30 + 30 + 8n Combine like terms: -30 + 30 = 0 0 + -42n = -30 + 30 + 8n -42n = -30 + 30 + 8n Combine like terms: -30 + 30 = 0 -42n = 0 + 8n -42n = 8n Solving -42n = 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -42n + -8n = 8n + -8n Combine like terms: -42n + -8n = -50n -50n = 8n + -8n Combine like terms: 8n + -8n = 0 -50n = 0 Divide each side by '-50'. n = 0.0 Simplifying n = 0.0
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