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Simplifying -3(1 + -2n) + -7n = -6 + -8(n + 4) (1 * -3 + -2n * -3) + -7n = -6 + -8(n + 4) (-3 + 6n) + -7n = -6 + -8(n + 4) Combine like terms: 6n + -7n = -1n -3 + -1n = -6 + -8(n + 4) Reorder the terms: -3 + -1n = -6 + -8(4 + n) -3 + -1n = -6 + (4 * -8 + n * -8) -3 + -1n = -6 + (-32 + -8n) Combine like terms: -6 + -32 = -38 -3 + -1n = -38 + -8n Solving -3 + -1n = -38 + -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. -3 + -1n + 8n = -38 + -8n + 8n Combine like terms: -1n + 8n = 7n -3 + 7n = -38 + -8n + 8n Combine like terms: -8n + 8n = 0 -3 + 7n = -38 + 0 -3 + 7n = -38 Add '3' to each side of the equation. -3 + 3 + 7n = -38 + 3 Combine like terms: -3 + 3 = 0 0 + 7n = -38 + 3 7n = -38 + 3 Combine like terms: -38 + 3 = -35 7n = -35 Divide each side by '7'. n = -5 Simplifying n = -5
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