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Simplifying 2w + 9x + 10y + 30z = 14 Solving 2w + 9x + 10y + 30z = 14 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9x' to each side of the equation. 2w + 9x + 10y + -9x + 30z = 14 + -9x Reorder the terms: 2w + 9x + -9x + 10y + 30z = 14 + -9x Combine like terms: 9x + -9x = 0 2w + 0 + 10y + 30z = 14 + -9x 2w + 10y + 30z = 14 + -9x Add '-10y' to each side of the equation. 2w + 10y + -10y + 30z = 14 + -9x + -10y Combine like terms: 10y + -10y = 0 2w + 0 + 30z = 14 + -9x + -10y 2w + 30z = 14 + -9x + -10y Add '-30z' to each side of the equation. 2w + 30z + -30z = 14 + -9x + -10y + -30z Combine like terms: 30z + -30z = 0 2w + 0 = 14 + -9x + -10y + -30z 2w = 14 + -9x + -10y + -30z Divide each side by '2'. w = 7 + -4.5x + -5y + -15z Simplifying w = 7 + -4.5x + -5y + -15z
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