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Simplifying 2w + 6x + -1y + 7w + -21x + -6y = 0 Reorder the terms: 2w + 7w + 6x + -21x + -1y + -6y = 0 Combine like terms: 2w + 7w = 9w 9w + 6x + -21x + -1y + -6y = 0 Combine like terms: 6x + -21x = -15x 9w + -15x + -1y + -6y = 0 Combine like terms: -1y + -6y = -7y 9w + -15x + -7y = 0 Solving 9w + -15x + -7y = 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 + -7y = 0 + 15x Combine like terms: -15x + 15x = 0 9w + 0 + -7y = 0 + 15x 9w + -7y = 0 + 15x Remove the zero: 9w + -7y = 15x Add '7y' to each side of the equation. 9w + -7y + 7y = 15x + 7y Combine like terms: -7y + 7y = 0 9w + 0 = 15x + 7y 9w = 15x + 7y Divide each side by '9'. w = 1.666666667x + 0.7777777778y Simplifying w = 1.666666667x + 0.7777777778y
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