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Simplifying 2w + -4x + -1g + 8w + 17x + -6y = 0 Reorder the terms: -1g + 2w + 8w + -4x + 17x + -6y = 0 Combine like terms: 2w + 8w = 10w -1g + 10w + -4x + 17x + -6y = 0 Combine like terms: -4x + 17x = 13x -1g + 10w + 13x + -6y = 0 Solving -1g + 10w + 13x + -6y = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-10w' to each side of the equation. -1g + 10w + 13x + -10w + -6y = 0 + -10w Reorder the terms: -1g + 10w + -10w + 13x + -6y = 0 + -10w Combine like terms: 10w + -10w = 0 -1g + 0 + 13x + -6y = 0 + -10w -1g + 13x + -6y = 0 + -10w Remove the zero: -1g + 13x + -6y = -10w Add '-13x' to each side of the equation. -1g + 13x + -13x + -6y = -10w + -13x Combine like terms: 13x + -13x = 0 -1g + 0 + -6y = -10w + -13x -1g + -6y = -10w + -13x Add '6y' to each side of the equation. -1g + -6y + 6y = -10w + -13x + 6y Combine like terms: -6y + 6y = 0 -1g + 0 = -10w + -13x + 6y -1g = -10w + -13x + 6y Divide each side by '-1'. g = 10w + 13x + -6y Simplifying g = 10w + 13x + -6y
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