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Simplifying -2x + y + 6z + 3w = 29 Reorder the terms: 3w + -2x + y + 6z = 29 Solving 3w + -2x + y + 6z = 29 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2x' to each side of the equation. 3w + -2x + y + 2x + 6z = 29 + 2x Reorder the terms: 3w + -2x + 2x + y + 6z = 29 + 2x Combine like terms: -2x + 2x = 0 3w + 0 + y + 6z = 29 + 2x 3w + y + 6z = 29 + 2x Add '-1y' to each side of the equation. 3w + y + -1y + 6z = 29 + 2x + -1y Combine like terms: y + -1y = 0 3w + 0 + 6z = 29 + 2x + -1y 3w + 6z = 29 + 2x + -1y Add '-6z' to each side of the equation. 3w + 6z + -6z = 29 + 2x + -1y + -6z Combine like terms: 6z + -6z = 0 3w + 0 = 29 + 2x + -1y + -6z 3w = 29 + 2x + -1y + -6z Divide each side by '3'. w = 9.666666667 + 0.6666666667x + -0.3333333333y + -2z Simplifying w = 9.666666667 + 0.6666666667x + -0.3333333333y + -2z
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