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Simplifying x + 78 + 4563 + y + x + 6894 + w = 9876 Reorder the terms: 78 + 4563 + 6894 + w + x + x + y = 9876 Combine like terms: 78 + 4563 = 4641 4641 + 6894 + w + x + x + y = 9876 Combine like terms: 4641 + 6894 = 11535 11535 + w + x + x + y = 9876 Combine like terms: x + x = 2x 11535 + w + 2x + y = 9876 Solving 11535 + w + 2x + y = 9876 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-11535' to each side of the equation. 11535 + w + 2x + -11535 + y = 9876 + -11535 Reorder the terms: 11535 + -11535 + w + 2x + y = 9876 + -11535 Combine like terms: 11535 + -11535 = 0 0 + w + 2x + y = 9876 + -11535 w + 2x + y = 9876 + -11535 Combine like terms: 9876 + -11535 = -1659 w + 2x + y = -1659 Add '-2x' to each side of the equation. w + 2x + -2x + y = -1659 + -2x Combine like terms: 2x + -2x = 0 w + 0 + y = -1659 + -2x w + y = -1659 + -2x Add '-1y' to each side of the equation. w + y + -1y = -1659 + -2x + -1y Combine like terms: y + -1y = 0 w + 0 = -1659 + -2x + -1y w = -1659 + -2x + -1y Simplifying w = -1659 + -2x + -1y
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