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Simplifying -8(n + -4) = -7n + -6 Reorder the terms: -8(-4 + n) = -7n + -6 (-4 * -8 + n * -8) = -7n + -6 (32 + -8n) = -7n + -6 Reorder the terms: 32 + -8n = -6 + -7n Solving 32 + -8n = -6 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. 32 + -8n + 7n = -6 + -7n + 7n Combine like terms: -8n + 7n = -1n 32 + -1n = -6 + -7n + 7n Combine like terms: -7n + 7n = 0 32 + -1n = -6 + 0 32 + -1n = -6 Add '-32' to each side of the equation. 32 + -32 + -1n = -6 + -32 Combine like terms: 32 + -32 = 0 0 + -1n = -6 + -32 -1n = -6 + -32 Combine like terms: -6 + -32 = -38 -1n = -38 Divide each side by '-1'. n = 38 Simplifying n = 38
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