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Simplifying 10x + -2y + 12w + -5y + -6w + 2y = 0 Reorder the terms: 12w + -6w + 10x + -2y + -5y + 2y = 0 Combine like terms: 12w + -6w = 6w 6w + 10x + -2y + -5y + 2y = 0 Combine like terms: -2y + -5y = -7y 6w + 10x + -7y + 2y = 0 Combine like terms: -7y + 2y = -5y 6w + 10x + -5y = 0 Solving 6w + 10x + -5y = 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. 6w + 10x + -10x + -5y = 0 + -10x Combine like terms: 10x + -10x = 0 6w + 0 + -5y = 0 + -10x 6w + -5y = 0 + -10x Remove the zero: 6w + -5y = -10x Add '5y' to each side of the equation. 6w + -5y + 5y = -10x + 5y Combine like terms: -5y + 5y = 0 6w + 0 = -10x + 5y 6w = -10x + 5y Divide each side by '6'. w = -1.666666667x + 0.8333333333y Simplifying w = -1.666666667x + 0.8333333333y
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