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Simplifying 6x + 4y + 3z + 2w = 19 Reorder the terms: 2w + 6x + 4y + 3z = 19 Solving 2w + 6x + 4y + 3z = 19 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 + 4y + -6x + 3z = 19 + -6x Reorder the terms: 2w + 6x + -6x + 4y + 3z = 19 + -6x Combine like terms: 6x + -6x = 0 2w + 0 + 4y + 3z = 19 + -6x 2w + 4y + 3z = 19 + -6x Add '-4y' to each side of the equation. 2w + 4y + -4y + 3z = 19 + -6x + -4y Combine like terms: 4y + -4y = 0 2w + 0 + 3z = 19 + -6x + -4y 2w + 3z = 19 + -6x + -4y Add '-3z' to each side of the equation. 2w + 3z + -3z = 19 + -6x + -4y + -3z Combine like terms: 3z + -3z = 0 2w + 0 = 19 + -6x + -4y + -3z 2w = 19 + -6x + -4y + -3z Divide each side by '2'. w = 9.5 + -3x + -2y + -1.5z Simplifying w = 9.5 + -3x + -2y + -1.5z
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