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Simplifying 8(1 + -7n) = -40 + -8n (1 * 8 + -7n * 8) = -40 + -8n (8 + -56n) = -40 + -8n Solving 8 + -56n = -40 + -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. 8 + -56n + 8n = -40 + -8n + 8n Combine like terms: -56n + 8n = -48n 8 + -48n = -40 + -8n + 8n Combine like terms: -8n + 8n = 0 8 + -48n = -40 + 0 8 + -48n = -40 Add '-8' to each side of the equation. 8 + -8 + -48n = -40 + -8 Combine like terms: 8 + -8 = 0 0 + -48n = -40 + -8 -48n = -40 + -8 Combine like terms: -40 + -8 = -48 -48n = -48 Divide each side by '-48'. n = 1 Simplifying n = 1
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