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Simplifying 42(69g + -14) = 48(20g + 2) Reorder the terms: 42(-14 + 69g) = 48(20g + 2) (-14 * 42 + 69g * 42) = 48(20g + 2) (-588 + 2898g) = 48(20g + 2) Reorder the terms: -588 + 2898g = 48(2 + 20g) -588 + 2898g = (2 * 48 + 20g * 48) -588 + 2898g = (96 + 960g) Solving -588 + 2898g = 96 + 960g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-960g' to each side of the equation. -588 + 2898g + -960g = 96 + 960g + -960g Combine like terms: 2898g + -960g = 1938g -588 + 1938g = 96 + 960g + -960g Combine like terms: 960g + -960g = 0 -588 + 1938g = 96 + 0 -588 + 1938g = 96 Add '588' to each side of the equation. -588 + 588 + 1938g = 96 + 588 Combine like terms: -588 + 588 = 0 0 + 1938g = 96 + 588 1938g = 96 + 588 Combine like terms: 96 + 588 = 684 1938g = 684 Divide each side by '1938'. g = 0.3529411765 Simplifying g = 0.3529411765
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