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