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Simplifying 9x + 33 + 2w + -12 + -11y + 16 = 180 Reorder the terms: 33 + -12 + 16 + 2w + 9x + -11y = 180 Combine like terms: 33 + -12 = 21 21 + 16 + 2w + 9x + -11y = 180 Combine like terms: 21 + 16 = 37 37 + 2w + 9x + -11y = 180 Solving 37 + 2w + 9x + -11y = 180 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + 2w + 9x + -37 + -11y = 180 + -37 Reorder the terms: 37 + -37 + 2w + 9x + -11y = 180 + -37 Combine like terms: 37 + -37 = 0 0 + 2w + 9x + -11y = 180 + -37 2w + 9x + -11y = 180 + -37 Combine like terms: 180 + -37 = 143 2w + 9x + -11y = 143 Add '-9x' to each side of the equation. 2w + 9x + -9x + -11y = 143 + -9x Combine like terms: 9x + -9x = 0 2w + 0 + -11y = 143 + -9x 2w + -11y = 143 + -9x Add '11y' to each side of the equation. 2w + -11y + 11y = 143 + -9x + 11y Combine like terms: -11y + 11y = 0 2w + 0 = 143 + -9x + 11y 2w = 143 + -9x + 11y Divide each side by '2'. w = 71.5 + -4.5x + 5.5y Simplifying w = 71.5 + -4.5x + 5.5y
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