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Simplifying 2(10g + -4) = 3(2g + 16) Reorder the terms: 2(-4 + 10g) = 3(2g + 16) (-4 * 2 + 10g * 2) = 3(2g + 16) (-8 + 20g) = 3(2g + 16) Reorder the terms: -8 + 20g = 3(16 + 2g) -8 + 20g = (16 * 3 + 2g * 3) -8 + 20g = (48 + 6g) Solving -8 + 20g = 48 + 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. -8 + 20g + -6g = 48 + 6g + -6g Combine like terms: 20g + -6g = 14g -8 + 14g = 48 + 6g + -6g Combine like terms: 6g + -6g = 0 -8 + 14g = 48 + 0 -8 + 14g = 48 Add '8' to each side of the equation. -8 + 8 + 14g = 48 + 8 Combine like terms: -8 + 8 = 0 0 + 14g = 48 + 8 14g = 48 + 8 Combine like terms: 48 + 8 = 56 14g = 56 Divide each side by '14'. g = 4 Simplifying g = 4
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