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Simplifying 6x + -3y + 13 + 4g + -3w + 7x = 0 Reorder the terms: 13 + 4g + -3w + 6x + 7x + -3y = 0 Combine like terms: 6x + 7x = 13x 13 + 4g + -3w + 13x + -3y = 0 Solving 13 + 4g + -3w + 13x + -3y = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + 4g + -3w + 13x + -13 + -3y = 0 + -13 Reorder the terms: 13 + -13 + 4g + -3w + 13x + -3y = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 4g + -3w + 13x + -3y = 0 + -13 4g + -3w + 13x + -3y = 0 + -13 Combine like terms: 0 + -13 = -13 4g + -3w + 13x + -3y = -13 Add '3w' to each side of the equation. 4g + -3w + 13x + 3w + -3y = -13 + 3w Reorder the terms: 4g + -3w + 3w + 13x + -3y = -13 + 3w Combine like terms: -3w + 3w = 0 4g + 0 + 13x + -3y = -13 + 3w 4g + 13x + -3y = -13 + 3w Add '-13x' to each side of the equation. 4g + 13x + -13x + -3y = -13 + 3w + -13x Combine like terms: 13x + -13x = 0 4g + 0 + -3y = -13 + 3w + -13x 4g + -3y = -13 + 3w + -13x Add '3y' to each side of the equation. 4g + -3y + 3y = -13 + 3w + -13x + 3y Combine like terms: -3y + 3y = 0 4g + 0 = -13 + 3w + -13x + 3y 4g = -13 + 3w + -13x + 3y Divide each side by '4'. g = -3.25 + 0.75w + -3.25x + 0.75y Simplifying g = -3.25 + 0.75w + -3.25x + 0.75y
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