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Simplifying -7(6n + 3) = -21 + 8n Reorder the terms: -7(3 + 6n) = -21 + 8n (3 * -7 + 6n * -7) = -21 + 8n (-21 + -42n) = -21 + 8n Add '21' to each side of the equation. -21 + 21 + -42n = -21 + 21 + 8n Combine like terms: -21 + 21 = 0 0 + -42n = -21 + 21 + 8n -42n = -21 + 21 + 8n Combine like terms: -21 + 21 = 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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