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Simplifying 9w + 2x + 2y + 3z = 52 Solving 9w + 2x + 2y + 3z = 52 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. 9w + 2x + 2y + -2x + 3z = 52 + -2x Reorder the terms: 9w + 2x + -2x + 2y + 3z = 52 + -2x Combine like terms: 2x + -2x = 0 9w + 0 + 2y + 3z = 52 + -2x 9w + 2y + 3z = 52 + -2x Add '-2y' to each side of the equation. 9w + 2y + -2y + 3z = 52 + -2x + -2y Combine like terms: 2y + -2y = 0 9w + 0 + 3z = 52 + -2x + -2y 9w + 3z = 52 + -2x + -2y Add '-3z' to each side of the equation. 9w + 3z + -3z = 52 + -2x + -2y + -3z Combine like terms: 3z + -3z = 0 9w + 0 = 52 + -2x + -2y + -3z 9w = 52 + -2x + -2y + -3z Divide each side by '9'. w = 5.777777778 + -0.2222222222x + -0.2222222222y + -0.3333333333z Simplifying w = 5.777777778 + -0.2222222222x + -0.2222222222y + -0.3333333333z
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