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Simplifying -426 = 6(-7 + 8n) -426 = (-7 * 6 + 8n * 6) -426 = (-42 + 48n) Solving -426 = -42 + 48n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-48n' to each side of the equation. -426 + -48n = -42 + 48n + -48n Combine like terms: 48n + -48n = 0 -426 + -48n = -42 + 0 -426 + -48n = -42 Add '426' to each side of the equation. -426 + 426 + -48n = -42 + 426 Combine like terms: -426 + 426 = 0 0 + -48n = -42 + 426 -48n = -42 + 426 Combine like terms: -42 + 426 = 384 -48n = 384 Divide each side by '-48'. n = -8 Simplifying n = -8
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