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Simplifying 3w + 6x + -13y + 3w + 9x + 8y = 0 Reorder the terms: 3w + 3w + 6x + 9x + -13y + 8y = 0 Combine like terms: 3w + 3w = 6w 6w + 6x + 9x + -13y + 8y = 0 Combine like terms: 6x + 9x = 15x 6w + 15x + -13y + 8y = 0 Combine like terms: -13y + 8y = -5y 6w + 15x + -5y = 0 Solving 6w + 15x + -5y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15x' to each side of the equation. 6w + 15x + -15x + -5y = 0 + -15x Combine like terms: 15x + -15x = 0 6w + 0 + -5y = 0 + -15x 6w + -5y = 0 + -15x Remove the zero: 6w + -5y = -15x Add '5y' to each side of the equation. 6w + -5y + 5y = -15x + 5y Combine like terms: -5y + 5y = 0 6w + 0 = -15x + 5y 6w = -15x + 5y Divide each side by '6'. w = -2.5x + 0.8333333333y Simplifying w = -2.5x + 0.8333333333y
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