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Simplifying 2w + -6x + -1y + 7w + 21x + -5y = 0 Reorder the terms: 2w + 7w + -6x + 21x + -1y + -5y = 0 Combine like terms: 2w + 7w = 9w 9w + -6x + 21x + -1y + -5y = 0 Combine like terms: -6x + 21x = 15x 9w + 15x + -1y + -5y = 0 Combine like terms: -1y + -5y = -6y 9w + 15x + -6y = 0 Solving 9w + 15x + -6y = 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 + -6y = 0 + -15x Combine like terms: 15x + -15x = 0 9w + 0 + -6y = 0 + -15x 9w + -6y = 0 + -15x Remove the zero: 9w + -6y = -15x Add '6y' to each side of the equation. 9w + -6y + 6y = -15x + 6y Combine like terms: -6y + 6y = 0 9w + 0 = -15x + 6y 9w = -15x + 6y Divide each side by '9'. w = -1.666666667x + 0.6666666667y Simplifying w = -1.666666667x + 0.6666666667y
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