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Simplifying 4(-2n + 6) = -3(5n + 8) + -1 Reorder the terms: 4(6 + -2n) = -3(5n + 8) + -1 (6 * 4 + -2n * 4) = -3(5n + 8) + -1 (24 + -8n) = -3(5n + 8) + -1 Reorder the terms: 24 + -8n = -3(8 + 5n) + -1 24 + -8n = (8 * -3 + 5n * -3) + -1 24 + -8n = (-24 + -15n) + -1 Reorder the terms: 24 + -8n = -24 + -1 + -15n Combine like terms: -24 + -1 = -25 24 + -8n = -25 + -15n Solving 24 + -8n = -25 + -15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '15n' to each side of the equation. 24 + -8n + 15n = -25 + -15n + 15n Combine like terms: -8n + 15n = 7n 24 + 7n = -25 + -15n + 15n Combine like terms: -15n + 15n = 0 24 + 7n = -25 + 0 24 + 7n = -25 Add '-24' to each side of the equation. 24 + -24 + 7n = -25 + -24 Combine like terms: 24 + -24 = 0 0 + 7n = -25 + -24 7n = -25 + -24 Combine like terms: -25 + -24 = -49 7n = -49 Divide each side by '7'. n = -7 Simplifying n = -7
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