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Simplifying 6w + -24 + 2y + 8x = 52 Reorder the terms: -24 + 6w + 8x + 2y = 52 Solving -24 + 6w + 8x + 2y = 52 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 6w + 8x + 24 + 2y = 52 + 24 Reorder the terms: -24 + 24 + 6w + 8x + 2y = 52 + 24 Combine like terms: -24 + 24 = 0 0 + 6w + 8x + 2y = 52 + 24 6w + 8x + 2y = 52 + 24 Combine like terms: 52 + 24 = 76 6w + 8x + 2y = 76 Add '-8x' to each side of the equation. 6w + 8x + -8x + 2y = 76 + -8x Combine like terms: 8x + -8x = 0 6w + 0 + 2y = 76 + -8x 6w + 2y = 76 + -8x Add '-2y' to each side of the equation. 6w + 2y + -2y = 76 + -8x + -2y Combine like terms: 2y + -2y = 0 6w + 0 = 76 + -8x + -2y 6w = 76 + -8x + -2y Divide each side by '6'. w = 12.66666667 + -1.333333333x + -0.3333333333y Simplifying w = 12.66666667 + -1.333333333x + -0.3333333333y
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