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Simplifying 3w + -2x + -1y + 6w + 15x + -6y = 0 Reorder the terms: 3w + 6w + -2x + 15x + -1y + -6y = 0 Combine like terms: 3w + 6w = 9w 9w + -2x + 15x + -1y + -6y = 0 Combine like terms: -2x + 15x = 13x 9w + 13x + -1y + -6y = 0 Combine like terms: -1y + -6y = -7y 9w + 13x + -7y = 0 Solving 9w + 13x + -7y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-13x' to each side of the equation. 9w + 13x + -13x + -7y = 0 + -13x Combine like terms: 13x + -13x = 0 9w + 0 + -7y = 0 + -13x 9w + -7y = 0 + -13x Remove the zero: 9w + -7y = -13x Add '7y' to each side of the equation. 9w + -7y + 7y = -13x + 7y Combine like terms: -7y + 7y = 0 9w + 0 = -13x + 7y 9w = -13x + 7y Divide each side by '9'. w = -1.444444444x + 0.7777777778y Simplifying w = -1.444444444x + 0.7777777778y
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