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Simplifying 6w + 10y + 12x + 3x + -15y + 3w = 0 Reorder the terms: 6w + 3w + 12x + 3x + 10y + -15y = 0 Combine like terms: 6w + 3w = 9w 9w + 12x + 3x + 10y + -15y = 0 Combine like terms: 12x + 3x = 15x 9w + 15x + 10y + -15y = 0 Combine like terms: 10y + -15y = -5y 9w + 15x + -5y = 0 Solving 9w + 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. 9w + 15x + -15x + -5y = 0 + -15x Combine like terms: 15x + -15x = 0 9w + 0 + -5y = 0 + -15x 9w + -5y = 0 + -15x Remove the zero: 9w + -5y = -15x Add '5y' to each side of the equation. 9w + -5y + 5y = -15x + 5y Combine like terms: -5y + 5y = 0 9w + 0 = -15x + 5y 9w = -15x + 5y Divide each side by '9'. w = -1.666666667x + 0.5555555556y Simplifying w = -1.666666667x + 0.5555555556y
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