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Simplifying 3w + 2x + -1z = 5 Solving 3w + 2x + -1z = 5 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 + -2x + -1z = 5 + -2x Combine like terms: 2x + -2x = 0 3w + 0 + -1z = 5 + -2x 3w + -1z = 5 + -2x Add 'z' to each side of the equation. 3w + -1z + z = 5 + -2x + z Combine like terms: -1z + z = 0 3w + 0 = 5 + -2x + z 3w = 5 + -2x + z Divide each side by '3'. w = 1.666666667 + -0.6666666667x + 0.3333333333z Simplifying w = 1.666666667 + -0.6666666667x + 0.3333333333z
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