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Simplifying 4(13 + -1g) = 3(6 + 2g) (13 * 4 + -1g * 4) = 3(6 + 2g) (52 + -4g) = 3(6 + 2g) 52 + -4g = (6 * 3 + 2g * 3) 52 + -4g = (18 + 6g) Solving 52 + -4g = 18 + 6g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-6g' to each side of the equation. 52 + -4g + -6g = 18 + 6g + -6g Combine like terms: -4g + -6g = -10g 52 + -10g = 18 + 6g + -6g Combine like terms: 6g + -6g = 0 52 + -10g = 18 + 0 52 + -10g = 18 Add '-52' to each side of the equation. 52 + -52 + -10g = 18 + -52 Combine like terms: 52 + -52 = 0 0 + -10g = 18 + -52 -10g = 18 + -52 Combine like terms: 18 + -52 = -34 -10g = -34 Divide each side by '-10'. g = 3.4 Simplifying g = 3.4
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