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Simplifying 6w + -4z + 2y + 8x = 52 Reorder the terms: 6w + 8x + 2y + -4z = 52 Solving 6w + 8x + 2y + -4z = 52 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8x' to each side of the equation. 6w + 8x + 2y + -8x + -4z = 52 + -8x Reorder the terms: 6w + 8x + -8x + 2y + -4z = 52 + -8x Combine like terms: 8x + -8x = 0 6w + 0 + 2y + -4z = 52 + -8x 6w + 2y + -4z = 52 + -8x Add '-2y' to each side of the equation. 6w + 2y + -2y + -4z = 52 + -8x + -2y Combine like terms: 2y + -2y = 0 6w + 0 + -4z = 52 + -8x + -2y 6w + -4z = 52 + -8x + -2y Add '4z' to each side of the equation. 6w + -4z + 4z = 52 + -8x + -2y + 4z Combine like terms: -4z + 4z = 0 6w + 0 = 52 + -8x + -2y + 4z 6w = 52 + -8x + -2y + 4z Divide each side by '6'. w = 8.666666667 + -1.333333333x + -0.3333333333y + 0.6666666667z Simplifying w = 8.666666667 + -1.333333333x + -0.3333333333y + 0.6666666667z
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