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Simplifying 3w + -6x + -1y + 3w + 21x + -6y = 0 Reorder the terms: 3w + 3w + -6x + 21x + -1y + -6y = 0 Combine like terms: 3w + 3w = 6w 6w + -6x + 21x + -1y + -6y = 0 Combine like terms: -6x + 21x = 15x 6w + 15x + -1y + -6y = 0 Combine like terms: -1y + -6y = -7y 6w + 15x + -7y = 0 Solving 6w + 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. 6w + 15x + -15x + -7y = 0 + -15x Combine like terms: 15x + -15x = 0 6w + 0 + -7y = 0 + -15x 6w + -7y = 0 + -15x Remove the zero: 6w + -7y = -15x Add '7y' to each side of the equation. 6w + -7y + 7y = -15x + 7y Combine like terms: -7y + 7y = 0 6w + 0 = -15x + 7y 6w = -15x + 7y Divide each side by '6'. w = -2.5x + 1.166666667y Simplifying w = -2.5x + 1.166666667y
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