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Simplifying 2w + 6x + 9y + 5z = 5 Solving 2w + 6x + 9y + 5z = 5 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6x' to each side of the equation. 2w + 6x + 9y + -6x + 5z = 5 + -6x Reorder the terms: 2w + 6x + -6x + 9y + 5z = 5 + -6x Combine like terms: 6x + -6x = 0 2w + 0 + 9y + 5z = 5 + -6x 2w + 9y + 5z = 5 + -6x Add '-9y' to each side of the equation. 2w + 9y + -9y + 5z = 5 + -6x + -9y Combine like terms: 9y + -9y = 0 2w + 0 + 5z = 5 + -6x + -9y 2w + 5z = 5 + -6x + -9y Add '-5z' to each side of the equation. 2w + 5z + -5z = 5 + -6x + -9y + -5z Combine like terms: 5z + -5z = 0 2w + 0 = 5 + -6x + -9y + -5z 2w = 5 + -6x + -9y + -5z Divide each side by '2'. w = 2.5 + -3x + -4.5y + -2.5z Simplifying w = 2.5 + -3x + -4.5y + -2.5z
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