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Simplifying 5(1 + -3n) = -27 + -7n (1 * 5 + -3n * 5) = -27 + -7n (5 + -15n) = -27 + -7n Solving 5 + -15n = -27 + -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. 5 + -15n + 7n = -27 + -7n + 7n Combine like terms: -15n + 7n = -8n 5 + -8n = -27 + -7n + 7n Combine like terms: -7n + 7n = 0 5 + -8n = -27 + 0 5 + -8n = -27 Add '-5' to each side of the equation. 5 + -5 + -8n = -27 + -5 Combine like terms: 5 + -5 = 0 0 + -8n = -27 + -5 -8n = -27 + -5 Combine like terms: -27 + -5 = -32 -8n = -32 Divide each side by '-8'. n = 4 Simplifying n = 4
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