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Simplifying -24 + 8n = 8(n + -6) + -6n Reorder the terms: -24 + 8n = 8(-6 + n) + -6n -24 + 8n = (-6 * 8 + n * 8) + -6n -24 + 8n = (-48 + 8n) + -6n Combine like terms: 8n + -6n = 2n -24 + 8n = -48 + 2n Solving -24 + 8n = -48 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -24 + 8n + -2n = -48 + 2n + -2n Combine like terms: 8n + -2n = 6n -24 + 6n = -48 + 2n + -2n Combine like terms: 2n + -2n = 0 -24 + 6n = -48 + 0 -24 + 6n = -48 Add '24' to each side of the equation. -24 + 24 + 6n = -48 + 24 Combine like terms: -24 + 24 = 0 0 + 6n = -48 + 24 6n = -48 + 24 Combine like terms: -48 + 24 = -24 6n = -24 Divide each side by '6'. n = -4 Simplifying n = -4
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