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Simplifying 6w + 4y + 9x + 6x + -12y + 5w = 0 Reorder the terms: 6w + 5w + 9x + 6x + 4y + -12y = 0 Combine like terms: 6w + 5w = 11w 11w + 9x + 6x + 4y + -12y = 0 Combine like terms: 9x + 6x = 15x 11w + 15x + 4y + -12y = 0 Combine like terms: 4y + -12y = -8y 11w + 15x + -8y = 0 Solving 11w + 15x + -8y = 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. 11w + 15x + -15x + -8y = 0 + -15x Combine like terms: 15x + -15x = 0 11w + 0 + -8y = 0 + -15x 11w + -8y = 0 + -15x Remove the zero: 11w + -8y = -15x Add '8y' to each side of the equation. 11w + -8y + 8y = -15x + 8y Combine like terms: -8y + 8y = 0 11w + 0 = -15x + 8y 11w = -15x + 8y Divide each side by '11'. w = -1.363636364x + 0.7272727273y Simplifying w = -1.363636364x + 0.7272727273y
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