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Simplifying -8(-7n + -6) = -32 + 8n Reorder the terms: -8(-6 + -7n) = -32 + 8n (-6 * -8 + -7n * -8) = -32 + 8n (48 + 56n) = -32 + 8n Solving 48 + 56n = -32 + 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. 48 + 56n + -8n = -32 + 8n + -8n Combine like terms: 56n + -8n = 48n 48 + 48n = -32 + 8n + -8n Combine like terms: 8n + -8n = 0 48 + 48n = -32 + 0 48 + 48n = -32 Add '-48' to each side of the equation. 48 + -48 + 48n = -32 + -48 Combine like terms: 48 + -48 = 0 0 + 48n = -32 + -48 48n = -32 + -48 Combine like terms: -32 + -48 = -80 48n = -80 Divide each side by '48'. n = -1.666666667 Simplifying n = -1.666666667
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