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Simplifying 3w + -1x + -10y + 6y + 3x + 5w = 0 Reorder the terms: 3w + 5w + -1x + 3x + -10y + 6y = 0 Combine like terms: 3w + 5w = 8w 8w + -1x + 3x + -10y + 6y = 0 Combine like terms: -1x + 3x = 2x 8w + 2x + -10y + 6y = 0 Combine like terms: -10y + 6y = -4y 8w + 2x + -4y = 0 Solving 8w + 2x + -4y = 0 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. 8w + 2x + -2x + -4y = 0 + -2x Combine like terms: 2x + -2x = 0 8w + 0 + -4y = 0 + -2x 8w + -4y = 0 + -2x Remove the zero: 8w + -4y = -2x Add '4y' to each side of the equation. 8w + -4y + 4y = -2x + 4y Combine like terms: -4y + 4y = 0 8w + 0 = -2x + 4y 8w = -2x + 4y Divide each side by '8'. w = -0.25x + 0.5y Simplifying w = -0.25x + 0.5y
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