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Simplifying 8(-6n + 7) = -24 + -8n Reorder the terms: 8(7 + -6n) = -24 + -8n (7 * 8 + -6n * 8) = -24 + -8n (56 + -48n) = -24 + -8n Solving 56 + -48n = -24 + -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. 56 + -48n + 8n = -24 + -8n + 8n Combine like terms: -48n + 8n = -40n 56 + -40n = -24 + -8n + 8n Combine like terms: -8n + 8n = 0 56 + -40n = -24 + 0 56 + -40n = -24 Add '-56' to each side of the equation. 56 + -56 + -40n = -24 + -56 Combine like terms: 56 + -56 = 0 0 + -40n = -24 + -56 -40n = -24 + -56 Combine like terms: -24 + -56 = -80 -40n = -80 Divide each side by '-40'. n = 2 Simplifying n = 2
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