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Simplifying 13(x + 2g) = 3(4x + 5g) Reorder the terms: 13(2g + x) = 3(4x + 5g) (2g * 13 + x * 13) = 3(4x + 5g) (26g + 13x) = 3(4x + 5g) Reorder the terms: 26g + 13x = 3(5g + 4x) 26g + 13x = (5g * 3 + 4x * 3) 26g + 13x = (15g + 12x) Solving 26g + 13x = 15g + 12x Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-15g' to each side of the equation. 26g + -15g + 13x = 15g + -15g + 12x Combine like terms: 26g + -15g = 11g 11g + 13x = 15g + -15g + 12x Combine like terms: 15g + -15g = 0 11g + 13x = 0 + 12x 11g + 13x = 12x Add '-13x' to each side of the equation. 11g + 13x + -13x = 12x + -13x Combine like terms: 13x + -13x = 0 11g + 0 = 12x + -13x 11g = 12x + -13x Combine like terms: 12x + -13x = -1x 11g = -1x Divide each side by '11'. g = -0.09090909091x Simplifying g = -0.09090909091x
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