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Simplifying 3w + 4x + -13 + 6w + 10x + 5y = 0 Reorder the terms: -13 + 3w + 6w + 4x + 10x + 5y = 0 Combine like terms: 3w + 6w = 9w -13 + 9w + 4x + 10x + 5y = 0 Combine like terms: 4x + 10x = 14x -13 + 9w + 14x + 5y = 0 Solving -13 + 9w + 14x + 5y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 9w + 14x + 13 + 5y = 0 + 13 Reorder the terms: -13 + 13 + 9w + 14x + 5y = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 9w + 14x + 5y = 0 + 13 9w + 14x + 5y = 0 + 13 Combine like terms: 0 + 13 = 13 9w + 14x + 5y = 13 Add '-14x' to each side of the equation. 9w + 14x + -14x + 5y = 13 + -14x Combine like terms: 14x + -14x = 0 9w + 0 + 5y = 13 + -14x 9w + 5y = 13 + -14x Add '-5y' to each side of the equation. 9w + 5y + -5y = 13 + -14x + -5y Combine like terms: 5y + -5y = 0 9w + 0 = 13 + -14x + -5y 9w = 13 + -14x + -5y Divide each side by '9'. w = 1.444444444 + -1.555555556x + -0.5555555556y Simplifying w = 1.444444444 + -1.555555556x + -0.5555555556y
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