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Simplifying 10w + 3x + -10y + -3z = 44 Solving 10w + 3x + -10y + -3z = 44 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3x' to each side of the equation. 10w + 3x + -10y + -3x + -3z = 44 + -3x Reorder the terms: 10w + 3x + -3x + -10y + -3z = 44 + -3x Combine like terms: 3x + -3x = 0 10w + 0 + -10y + -3z = 44 + -3x 10w + -10y + -3z = 44 + -3x Add '10y' to each side of the equation. 10w + -10y + 10y + -3z = 44 + -3x + 10y Combine like terms: -10y + 10y = 0 10w + 0 + -3z = 44 + -3x + 10y 10w + -3z = 44 + -3x + 10y Add '3z' to each side of the equation. 10w + -3z + 3z = 44 + -3x + 10y + 3z Combine like terms: -3z + 3z = 0 10w + 0 = 44 + -3x + 10y + 3z 10w = 44 + -3x + 10y + 3z Divide each side by '10'. w = 4.4 + -0.3x + y + 0.3z Simplifying w = 4.4 + -0.3x + y + 0.3z
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