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Simplifying 3w + -6x + 6y + 4z = -5 Solving 3w + -6x + 6y + 4z = -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. 3w + -6x + 6y + 6x + 4z = -5 + 6x Reorder the terms: 3w + -6x + 6x + 6y + 4z = -5 + 6x Combine like terms: -6x + 6x = 0 3w + 0 + 6y + 4z = -5 + 6x 3w + 6y + 4z = -5 + 6x Add '-6y' to each side of the equation. 3w + 6y + -6y + 4z = -5 + 6x + -6y Combine like terms: 6y + -6y = 0 3w + 0 + 4z = -5 + 6x + -6y 3w + 4z = -5 + 6x + -6y Add '-4z' to each side of the equation. 3w + 4z + -4z = -5 + 6x + -6y + -4z Combine like terms: 4z + -4z = 0 3w + 0 = -5 + 6x + -6y + -4z 3w = -5 + 6x + -6y + -4z Divide each side by '3'. w = -1.666666667 + 2x + -2y + -1.333333333z Simplifying w = -1.666666667 + 2x + -2y + -1.333333333z
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