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Simplifying 7x + -6w + 3x + 9y + 2y + 3w = 0 Reorder the terms: -6w + 3w + 7x + 3x + 9y + 2y = 0 Combine like terms: -6w + 3w = -3w -3w + 7x + 3x + 9y + 2y = 0 Combine like terms: 7x + 3x = 10x -3w + 10x + 9y + 2y = 0 Combine like terms: 9y + 2y = 11y -3w + 10x + 11y = 0 Solving -3w + 10x + 11y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10x' to each side of the equation. -3w + 10x + -10x + 11y = 0 + -10x Combine like terms: 10x + -10x = 0 -3w + 0 + 11y = 0 + -10x -3w + 11y = 0 + -10x Remove the zero: -3w + 11y = -10x Add '-11y' to each side of the equation. -3w + 11y + -11y = -10x + -11y Combine like terms: 11y + -11y = 0 -3w + 0 = -10x + -11y -3w = -10x + -11y Divide each side by '-3'. w = 3.333333333x + 3.666666667y Simplifying w = 3.333333333x + 3.666666667y
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