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Simplifying 6g + 8(2g + -6) = 2 + 14g Reorder the terms: 6g + 8(-6 + 2g) = 2 + 14g 6g + (-6 * 8 + 2g * 8) = 2 + 14g 6g + (-48 + 16g) = 2 + 14g Reorder the terms: -48 + 6g + 16g = 2 + 14g Combine like terms: 6g + 16g = 22g -48 + 22g = 2 + 14g Solving -48 + 22g = 2 + 14g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-14g' to each side of the equation. -48 + 22g + -14g = 2 + 14g + -14g Combine like terms: 22g + -14g = 8g -48 + 8g = 2 + 14g + -14g Combine like terms: 14g + -14g = 0 -48 + 8g = 2 + 0 -48 + 8g = 2 Add '48' to each side of the equation. -48 + 48 + 8g = 2 + 48 Combine like terms: -48 + 48 = 0 0 + 8g = 2 + 48 8g = 2 + 48 Combine like terms: 2 + 48 = 50 8g = 50 Divide each side by '8'. g = 6.25 Simplifying g = 6.25
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